2564652006 has 24 divisors (see below), whose sum is σ = 6350567184. Its totient is φ = 732757680.

The previous prime is 2564652001. The next prime is 2564652017. The reversal of 2564652006 is 6002564652.

2564652006 is a `hidden beast` number, since 2 + 5 + 646 + 5 + 2 + 0 + 0 + 6 = 666.

It is a super-3 number, since 3×2564652006³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564652001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10177065 + ... + 10177316.

It is an arithmetic number, because the mean of its divisors is an integer number (264606966).

Almost surely, 2^2564652006 is an apocalyptic number.

2564652006 is an abundant number, since it is smaller than the sum of its proper divisors (3785915178).

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

2564652006 is a wasteful number, since it uses less digits than its factorization.

2564652006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20354396 (or 20354393 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2564652006 is about 50642.3933676125. The cubic root of 2564652006 is about 1368.8088828362.

The spelling of 2564652006 in words is "two billion, five hundred sixty-four million, six hundred fifty-two thousand, six".