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2561175240 = 2335132775927
BaseRepresentation
bin1001100010101000…
…0110111011001000
320121111022011221020
42120222012323020
520221130101430
61102050512440
7120316426131
oct23052067310
96544264836
102561175240
1110a4797958
125b5895720
1331a7cb310
141a4216c88
15eecb1b10
hex98a86ec8

2561175240 has 128 divisors (see below), whose sum is σ = 8305839360. Its totient is φ = 628061184.

The previous prime is 2561175157. The next prime is 2561175247. The reversal of 2561175240 is 425711652.

It is not an unprimeable number, because it can be changed into a prime (2561175247) 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, 429157 + ... + 435083.

It is an arithmetic number, because the mean of its divisors is an integer number (64889370).

Almost surely, 22561175240 is an apocalyptic number.

2561175240 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 2561175240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152919680).

2561175240 is an abundant number, since it is smaller than the sum of its proper divisors (5744664120).

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

2561175240 is a wasteful number, since it uses less digits than its factorization.

2561175240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2561175240 is about 50608.0550900743. The cubic root of 2561175240 is about 1368.1900619959.

Adding to 2561175240 its reverse (425711652), we get a palindrome (2986886892).

The spelling of 2561175240 in words is "two billion, five hundred sixty-one million, one hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 277 312 390 520 554 780 831 1108 1385 1560 1662 2216 2770 3324 3601 4155 5540 5927 6648 7202 8310 10803 11080 11854 14404 16620 17781 18005 21606 23708 28808 29635 33240 35562 36010 43212 47416 54015 59270 71124 72020 77051 86424 88905 108030 118540 142248 144040 154102 177810 216060 231153 237080 308204 355620 385255 432120 462306 616408 711240 770510 924612 1155765 1541020 1641779 1849224 2311530 3082040 3283558 4623060 4925337 6567116 8208895 9246120 9850674 13134232 16417790 19701348 21343127 24626685 32835580 39402696 42686254 49253370 64029381 65671160 85372508 98506740 106715635 128058762 170745016 197013480 213431270 256117524 320146905 426862540 512235048 640293810 853725080 1280587620 2561175240