2565749243904 has 1024 divisors, whose sum is σ = 9161025454080. Its totient is φ = 618324295680.

The previous prime is 2565749243903. The next prime is 2565749243963. The reversal of 2565749243904 is 4093429475652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-3 number, since 3×2565749243904³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2565749243903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16342351794 + ... + 16342351950.

It is an arithmetic number, because the mean of its divisors is an integer number (8946313920).

Almost surely, 2^{2565749243904} is an apocalyptic number.

2565749243904 is a gapful number since it is divisible by the number (24) 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 2565749243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580512727040).

2565749243904 is an abundant number, since it is smaller than the sum of its proper divisors (6595276210176).

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

2565749243904 is a wasteful number, since it uses less digits than its factorization.

2565749243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 2565749243904 in words is "two trillion, five hundred sixty-five billion, seven hundred forty-nine million, two hundred forty-three thousand, nine hundred four".