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2573094240 = 253253157641
BaseRepresentation
bin1001100101011110…
…0100110101100000
320122022201201201200
42121113210311200
520232203003430
61103154201200
7120522640323
oct23127446540
96568651650
102573094240
111100498872
125b9883200
13320112492
141a5a3a7ba
15100d68460
hex995e4d60

2573094240 has 144 divisors (see below), whose sum is σ = 9064089216. Its totient is φ = 664012800.

The previous prime is 2573094233. The next prime is 2573094241. The reversal of 2573094240 is 424903752.

2573094240 is a `hidden beast` number, since 2 + 573 + 0 + 9 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2573094195 and 2573094204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573094241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15820 + ... + 73460.

It is an arithmetic number, because the mean of its divisors is an integer number (62945064).

Almost surely, 22573094240 is an apocalyptic number.

2573094240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532044608).

2573094240 is an abundant number, since it is smaller than the sum of its proper divisors (6490994976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2573094240 is a wasteful number, since it uses less digits than its factorization.

2573094240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57693 (or 57682 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2573094240 is about 50725.6763385172. The cubic root of 2573094240 is about 1370.3091706378.

Adding to 2573094240 its reverse (424903752), we get a palindrome (2997997992).

The spelling of 2573094240 in words is "two billion, five hundred seventy-three million, ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 57641 115282 172923 230564 288205 345846 461128 518769 576410 691692 864615 922256 1037538 1152820 1383384 1729230 1786871 1844512 2075076 2305640 2593845 2766768 3458460 3573742 4150152 4611280 5187690 5360613 5533536 6916920 7147484 8300304 8934355 9222560 10375380 10721226 13833840 14294968 16081839 16600608 17868710 20750760 21442452 26803065 27667680 28589936 32163678 35737420 41501520 42884904 53606130 57179872 64327356 71474840 80409195 83003040 85769808 107212260 128654712 142949680 160818390 171539616 214424520 257309424 285899360 321636780 428849040 514618848 643273560 857698080 1286547120 2573094240