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2555320440 = 2335471672713
BaseRepresentation
bin1001100001001111…
…0001100001111000
320121002021201122210
42120103301201320
520213130223230
61101321215120
7120215602551
oct23023614170
96532251583
102555320440
1110a1459082
125b39314a0
1331952b43a
141a3531328
15ee506eb0
hex984f1878

2555320440 has 128 divisors (see below), whose sum is σ = 7878850560. Its totient is φ = 662682624.

The previous prime is 2555320433. The next prime is 2555320441. The reversal of 2555320440 is 440235552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2555320398 and 2555320407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555320441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940524 + ... + 943236.

It is an arithmetic number, because the mean of its divisors is an integer number (61553520).

Almost surely, 22555320440 is an apocalyptic number.

2555320440 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 2555320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939425280).

2555320440 is an abundant number, since it is smaller than the sum of its proper divisors (5323530120).

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

2555320440 is a wasteful number, since it uses less digits than its factorization.

2555320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2555320440 is about 50550.1774477598. The cubic root of 2555320440 is about 1367.1467140373.

Adding to 2555320440 its reverse (440235552), we get a palindrome (2995555992).

The spelling of 2555320440 in words is "two billion, five hundred fifty-five million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 167 188 235 282 334 376 470 501 564 668 705 835 940 1002 1128 1336 1410 1670 1880 2004 2505 2713 2820 3340 4008 5010 5426 5640 6680 7849 8139 10020 10852 13565 15698 16278 20040 21704 23547 27130 31396 32556 39245 40695 47094 54260 62792 65112 78490 81390 94188 108520 117735 127511 156980 162780 188376 235470 255022 313960 325560 382533 453071 470940 510044 637555 765066 906142 941880 1020088 1275110 1359213 1530132 1812284 1912665 2265355 2550220 2718426 3060264 3624568 3825330 4530710 5100440 5436852 6796065 7650660 9061420 10873704 13592130 15301320 18122840 21294337 27184260 42588674 54368520 63883011 85177348 106471685 127766022 170354696 212943370 255532044 319415055 425886740 511064088 638830110 851773480 1277660220 2555320440