2564232000 has 336 divisors, whose sum is σ = 9317345856. Its totient is φ = 620928000.

The previous prime is 2564231983. The next prime is 2564232023. The reversal of 2564232000 is 2324652.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903559 + ... + 2904441.

It is an arithmetic number, because the mean of its divisors is an integer number (27730196).

Almost surely, 2^2564232000 is an apocalyptic number.

2564232000 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 2564232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658672928).

2564232000 is an abundant number, since it is smaller than the sum of its proper divisors (6753113856).

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

2564232000 is a wasteful number, since it uses less digits than its factorization.

2564232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 904 counting only the distinct ones).

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

The square root of 2564232000 is about 50638.2464151357. The cubic root of 2564232000 is about 1368.7341567358.

Adding to 2564232000 its reverse (2324652), we get a palindrome (2566556652).

The spelling of 2564232000 in words is "two billion, five hundred sixty-four million, two hundred thirty-two thousand".