2005580976 has 120 divisors (see below), whose sum is σ = 6110059824. Its totient is φ = 565125120.

The previous prime is 2005580947. The next prime is 2005580981. The reversal of 2005580976 is 6790855002.

It is a super-2 number, since 2×2005580976² = 8044710102586225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165856 + ... + 177536.

Almost surely, 2^2005580976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005580976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055029912).

2005580976 is an abundant number, since it is smaller than the sum of its proper divisors (4104478848).

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

2005580976 is a wasteful number, since it uses less digits than its factorization.

2005580976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 2005580976 is about 44783.7132895431. The cubic root of 2005580976 is about 1261.0918930183.

The spelling of 2005580976 in words is "two billion, five million, five hundred eighty thousand, nine hundred seventy-six".