2564410628 has 48 divisors (see below), whose sum is σ = 5138877744. Its totient is φ = 1109237760.

The previous prime is 2564410621. The next prime is 2564410669. The reversal of 2564410628 is 8260144652.

It can be written as a sum of positive squares in 8 ways, for example, as 173396224 + 2391014404 = 13168^2 + 48898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2564410591 and 2564410600.

It is not an unprimeable number, because it can be changed into a prime (2564410621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207026 + ... + 219062.

It is an arithmetic number, because the mean of its divisors is an integer number (107059953).

Almost surely, 2^2564410628 is an apocalyptic number.

It is an amenable number.

2564410628 is an abundant number, since it is smaller than the sum of its proper divisors (2574467116).

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

2564410628 is a wasteful number, since it uses less digits than its factorization.

2564410628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2564410628 is about 50640.0101500780. The cubic root of 2564410628 is about 1368.7659386453.

The spelling of 2564410628 in words is "two billion, five hundred sixty-four million, four hundred ten thousand, six hundred twenty-eight".