2564585425200 has 240 divisors, whose sum is σ = 8473500580896. Its totient is φ = 662547456000.

The previous prime is 2564585425153. The next prime is 2564585425211. The reversal of 2564585425200 is 25245854652.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2564585425200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10221250 + ... + 10469150.

Almost surely, 2^{2564585425200} is an apocalyptic number.

2564585425200 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 2564585425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236750290448).

2564585425200 is an abundant number, since it is smaller than the sum of its proper divisors (5908915155696).

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

2564585425200 is a wasteful number, since it uses less digits than its factorization.

2564585425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248192 (or 248181 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 48.

The spelling of 2564585425200 in words is "two trillion, five hundred sixty-four billion, five hundred eighty-five million, four hundred twenty-five thousand, two hundred".