2972309504 has 96 divisors (see below), whose sum is σ = 6280092000. Its totient is φ = 1403584512.

The previous prime is 2972309477. The next prime is 2972309531. The reversal of 2972309504 is 4059032792.

It is an interprime number because it is at equal distance from previous prime (2972309477) and next prime (2972309531).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191902 + ... + 4192610.

It is an arithmetic number, because the mean of its divisors is an integer number (65417625).

Almost surely, 2^2972309504 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 2972309504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140046000).

2972309504 is an abundant number, since it is smaller than the sum of its proper divisors (3307782496).

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

2972309504 is an equidigital number, since it uses as much as digits as its factorization.

2972309504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 2972309504 is about 54518.8912579851. The cubic root of 2972309504 is about 1437.7984465555.

The spelling of 2972309504 in words is "two billion, nine hundred seventy-two million, three hundred nine thousand, five hundred four".