2564025000 has 192 divisors, whose sum is σ = 8487581760. Its totient is φ = 643200000.

The previous prime is 2564024993. The next prime is 2564025083. The reversal of 2564025000 is 5204652.

2564025000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1273995 + ... + 1276005.

It is an arithmetic number, because the mean of its divisors is an integer number (44206155).

Almost surely, 2^2564025000 is an apocalyptic number.

2564025000 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 2564025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243790880).

2564025000 is an abundant number, since it is smaller than the sum of its proper divisors (5923556760).

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

2564025000 is a wasteful number, since it uses less digits than its factorization.

2564025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2564025000 is about 50636.2024642449. The cubic root of 2564025000 is about 1368.6973249677.

Adding to 2564025000 its reverse (5204652), we get a palindrome (2569229652).

The spelling of 2564025000 in words is "two billion, five hundred sixty-four million, twenty-five thousand".