255694602240 has 864 divisors, whose sum is σ = 1107090706176. Its totient is φ = 53036974080.

The previous prime is 255694602239. The next prime is 255694602253. The reversal of 255694602240 is 42206496552.

255694602240 is a `hidden beast` number, since 2 + 5 + 569 + 4 + 60 + 2 + 24 + 0 = 666.

It is a super-2 number, since 2×255694602240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454164199 + ... + 454164761.

It is an arithmetic number, because the mean of its divisors is an integer number (1281354984).

Almost surely, 2^255694602240 is an apocalyptic number.

255694602240 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 255694602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553545353088).

255694602240 is an abundant number, since it is smaller than the sum of its proper divisors (851396103936).

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

255694602240 is an equidigital number, since it uses as much as digits as its factorization.

255694602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 255694602240 in words is "two hundred fifty-five billion, six hundred ninety-four million, six hundred two thousand, two hundred forty".