2564002320 has 160 divisors (see below), whose sum is σ = 8905680000. Its totient is φ = 604753920.

The previous prime is 2564002319. The next prime is 2564002321. The reversal of 2564002320 is 232004652.

It is an interprime number because it is at equal distance from previous prime (2564002319) and next prime (2564002321).

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

It is not an unprimeable number, because it can be changed into a prime (2564002321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84556 + ... + 110804.

It is an arithmetic number, because the mean of its divisors is an integer number (55660500).

Almost surely, 2^2564002320 is an apocalyptic number.

2564002320 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 2564002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840000).

2564002320 is an abundant number, since it is smaller than the sum of its proper divisors (6341677680).

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

2564002320 is a wasteful number, since it uses less digits than its factorization.

2564002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26313 (or 26307 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2564002320 is about 50635.9785133061. The cubic root of 2564002320 is about 1368.6932893666.

Adding to 2564002320 its reverse (232004652), we get a palindrome (2796006972).

The spelling of 2564002320 in words is "two billion, five hundred sixty-four million, two thousand, three hundred twenty".