2564208130 has 64 divisors (see below), whose sum is σ = 5435424000. Its totient is φ = 861118720.

The previous prime is 2564208071. The next prime is 2564208131. The reversal of 2564208130 is 318024652.

It is a junction number, because it is equal to n+sod(n) for n = 2564208092 and 2564208101.

It is not an unprimeable number, because it can be changed into a prime (2564208131) 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, 55896 + ... + 90844.

It is an arithmetic number, because the mean of its divisors is an integer number (84928500).

Almost surely, 2^2564208130 is an apocalyptic number.

2564208130 is an abundant number, since it is smaller than the sum of its proper divisors (2871215870).

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

2564208130 is a wasteful number, since it uses less digits than its factorization.

2564208130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35019.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2564208130 is about 50638.0107231712. The cubic root of 2564208130 is about 1368.7299096180.

The spelling of 2564208130 in words is "two billion, five hundred sixty-four million, two hundred eight thousand, one hundred thirty".