2564520010 has 64 divisors (see below), whose sum is σ = 5285564928. Its totient is φ = 888585984.

The previous prime is 2564519999. The next prime is 2564520011. The reversal of 2564520010 is 100254652.

2564520010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2564520010³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564520011) 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, 150379 + ... + 166561.

It is an arithmetic number, because the mean of its divisors is an integer number (82586952).

Almost surely, 2^2564520010 is an apocalyptic number.

2564520010 is an abundant number, since it is smaller than the sum of its proper divisors (2721044918).

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

2564520010 is a wasteful number, since it uses less digits than its factorization.

2564520010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16279.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2564520010 is about 50641.0901343958. The cubic root of 2564520010 is about 1368.7853994167.

Adding to 2564520010 its reverse (100254652), we get a palindrome (2664774662).

The spelling of 2564520010 in words is "two billion, five hundred sixty-four million, five hundred twenty thousand, ten".