2949768960 has 72 divisors (see below), whose sum is σ = 9420836880. Its totient is φ = 786604032.

The previous prime is 2949768953. The next prime is 2949768971. The reversal of 2949768960 is 698679492.

2949768960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2949768960² = 17402273834758963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2949768894 and 2949768903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380245 + ... + 387924.

Almost surely, 2^2949768960 is an apocalyptic number.

2949768960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2949768960 is an abundant number, since it is smaller than the sum of its proper divisors (6471067920).

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

2949768960 is an equidigital number, since it uses as much as digits as its factorization.

2949768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768193 (or 768179 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The square root of 2949768960 is about 54311.7755187584. The cubic root of 2949768960 is about 1434.1546997117.

The spelling of 2949768960 in words is "two billion, nine hundred forty-nine million, seven hundred sixty-eight thousand, nine hundred sixty".