2005562616840 has 64 divisors (see below), whose sum is σ = 6685208726400. Its totient is φ = 534816697536.

The previous prime is 2005562616797. The next prime is 2005562616901. The reversal of 2005562616840 is 486162655002.

2005562616840 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 5 + 626 + 16 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×2005562616840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928500132 + ... + 928502291.

It is an arithmetic number, because the mean of its divisors is an integer number (104456386350).

Almost surely, 2^{2005562616840} is an apocalyptic number.

2005562616840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005562616840 is an abundant number, since it is smaller than the sum of its proper divisors (4679646109560).

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

2005562616840 is a wasteful number, since it uses less digits than its factorization.

2005562616840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857002443 (or 1857002433 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2005562616840 in words is "two trillion, five billion, five hundred sixty-two million, six hundred sixteen thousand, eight hundred forty".