2257565294880 has 864 divisors, whose sum is σ = 9545121383616. Its totient is φ = 502052898816.

The previous prime is 2257565294827. The next prime is 2257565294899. The reversal of 2257565294880 is 884925657522.

It is a happy number.

2257565294880 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 565 + 29 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70473427 + ... + 70505453.

It is an arithmetic number, because the mean of its divisors is an integer number (11047594194).

Almost surely, 2^{2257565294880} is an apocalyptic number.

2257565294880 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 2257565294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772560691808).

2257565294880 is an abundant number, since it is smaller than the sum of its proper divisors (7287556088736).

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

2257565294880 is a wasteful number, since it uses less digits than its factorization.

2257565294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32108 (or 32081 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 2257565294880 in words is "two trillion, two hundred fifty-seven billion, five hundred sixty-five million, two hundred ninety-four thousand, eight hundred eighty".