2931000768 has 224 divisors, whose sum is σ = 9304934400. Its totient is φ = 901942272.

The previous prime is 2931000757. The next prime is 2931000799. The reversal of 2931000768 is 8670001392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151305 + ... + 1153847.

Almost surely, 2^2931000768 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 2931000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652467200).

2931000768 is an abundant number, since it is smaller than the sum of its proper divisors (6373933632).

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

2931000768 is a wasteful number, since it uses less digits than its factorization.

2931000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2931000768 is about 54138.7178274477. The cubic root of 2931000768 is about 1431.1065762780.

The spelling of 2931000768 in words is "two billion, nine hundred thirty-one million, seven hundred sixty-eight", and thus it is an aban number.