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2054297440 = 255132321867
BaseRepresentation
bin111101001110010…
…0001011101100000
312022011112010022101
41322130201131200
513201400004230
6535502420144
7101623145236
oct17234413540
95264463271
102054297440
11964663088
12493b91654
132697a8820
14156b90956
15c053aaca
hex7a721760

2054297440 has 144 divisors (see below), whose sum is σ = 5466657168. Its totient is φ = 725142528.

The previous prime is 2054297369. The next prime is 2054297449. The reversal of 2054297440 is 447924502.

It is a self number, because there is not a number n which added to its sum of digits gives 2054297440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054297449) 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, 1099387 + ... + 1101253.

It is an arithmetic number, because the mean of its divisors is an integer number (37962897).

Almost surely, 22054297440 is an apocalyptic number.

2054297440 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 2054297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733328584).

2054297440 is an abundant number, since it is smaller than the sum of its proper divisors (3412359728).

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

2054297440 is a wasteful number, since it uses less digits than its factorization.

2054297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2054297440 is about 45324.3581311418. The cubic root of 2054297440 is about 1271.2211454980.

The spelling of 2054297440 in words is "two billion, fifty-four million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 529 598 736 920 1040 1058 1196 1495 1840 1867 2080 2116 2392 2645 2990 3680 3734 4232 4784 5290 5980 6877 7468 8464 9335 9568 10580 11960 13754 14936 16928 18670 21160 23920 24271 27508 29872 34385 37340 42320 42941 47840 48542 55016 59744 68770 74680 84640 85882 97084 110032 121355 137540 149360 171764 194168 214705 220064 242710 275080 298720 343528 388336 429410 485420 550160 558233 687056 776672 858820 970840 987643 1100320 1116466 1374112 1717640 1941680 1975286 2232932 2791165 3435280 3883360 3950572 4465864 4938215 5582330 6870560 7901144 8931728 9876430 11164660 12839359 15802288 17863456 19752860 22329320 25678718 31604576 39505720 44658640 51357436 64196795 79011440 89317280 102714872 128393590 158022880 205429744 256787180 410859488 513574360 1027148720 2054297440