2005972424 has 64 divisors (see below), whose sum is σ = 4056480000. Its totient is φ = 927134208.

The previous prime is 2005972411. The next prime is 2005972433. The reversal of 2005972424 is 4242795002.

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, 1067774 + ... + 1069650.

It is an arithmetic number, because the mean of its divisors is an integer number (63382500).

Almost surely, 2^2005972424 is an apocalyptic number.

It is an amenable number.

2005972424 is an abundant number, since it is smaller than the sum of its proper divisors (2050507576).

2005972424 is a wasteful number, since it uses less digits than its factorization.

2005972424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2005972424 is about 44788.0835044323. The cubic root of 2005972424 is about 1261.1739340481.

The spelling of 2005972424 in words is "two billion, five million, nine hundred seventy-two thousand, four hundred twenty-four".