2564210352 has 80 divisors (see below), whose sum is σ = 7264142208. Its totient is φ = 772976640.

The previous prime is 2564210333. The next prime is 2564210359. The reversal of 2564210352 is 2530124652.

It is not an unprimeable number, because it can be changed into a prime (2564210359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89323 + ... + 114485.

Almost surely, 2^2564210352 is an apocalyptic number.

2564210352 is a gapful number since it is divisible by the number (22) 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 2564210352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632071104).

2564210352 is an abundant number, since it is smaller than the sum of its proper divisors (4699931856).

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

2564210352 is a wasteful number, since it uses less digits than its factorization.

2564210352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25378 (or 25372 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2564210352 is about 50638.0326632068. The cubic root of 2564210352 is about 1368.7303049730.

The spelling of 2564210352 in words is "two billion, five hundred sixty-four million, two hundred ten thousand, three hundred fifty-two".