2565474560000 has 960 divisors, whose sum is σ = 7423906089600. Its totient is φ = 877363200000.

The previous prime is 2565474559969. The next prime is 2565474560003. The reversal of 2565474560000 is 654745652.

It is a super-3 number, since 3×2565474560000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565474560003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24907519949 + ... + 24907520051.

It is an arithmetic number, because the mean of its divisors is an integer number (7733235510).

Almost surely, 2^{2565474560000} is an apocalyptic number.

2565474560000 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 2565474560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711953044800).

2565474560000 is an abundant number, since it is smaller than the sum of its proper divisors (4858431529600).

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

2565474560000 is a wasteful number, since it uses less digits than its factorization.

2565474560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 2565474560000 in words is "two trillion, five hundred sixty-five billion, four hundred seventy-four million, five hundred sixty thousand".