2617864002 has 128 divisors (see below), whose sum is σ = 6571998720. Its totient is φ = 766402560.

The previous prime is 2617863977. The next prime is 2617864019. The reversal of 2617864002 is 2004687162.

2617864002 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 8 + 640 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4536738 + ... + 4537314.

It is an arithmetic number, because the mean of its divisors is an integer number (51343740).

Almost surely, 2^2617864002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2617864002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285999360).

2617864002 is an abundant number, since it is smaller than the sum of its proper divisors (3954134718).

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

2617864002 is a wasteful number, since it uses less digits than its factorization.

2617864002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2617864002 is about 51165.0662268701. The cubic root of 2617864002 is about 1378.2109425047.

The spelling of 2617864002 in words is "two billion, six hundred seventeen million, eight hundred sixty-four thousand, two".