2952789744 has 80 divisors (see below), whose sum is σ = 7905744000. Its totient is φ = 948557568.

The previous prime is 2952789739. The next prime is 2952789767. The reversal of 2952789744 is 4479872592.

It is a congruent number.

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, 893407 + ... + 896705.

It is an arithmetic number, because the mean of its divisors is an integer number (98821800).

Almost surely, 2^2952789744 is an apocalyptic number.

2952789744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952789744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952872000).

2952789744 is an abundant number, since it is smaller than the sum of its proper divisors (4952954256).

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

2952789744 is a wasteful number, since it uses less digits than its factorization.

2952789744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3976 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 2952789744 is about 54339.5780624031. The cubic root of 2952789744 is about 1434.6440932442.

The spelling of 2952789744 in words is "two billion, nine hundred fifty-two million, seven hundred eighty-nine thousand, seven hundred forty-four".