2924976960 has 224 divisors, whose sum is σ = 10559978880. Its totient is φ = 761757696.

The previous prime is 2924976937. The next prime is 2924977019. The reversal of 2924976960 is 696794292.

2924976960 is a `hidden beast` number, since 2 + 92 + 497 + 6 + 9 + 60 = 666.

2924976960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2924976897 and 2924976906.

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, 367584 + ... + 375456.

Almost surely, 2^2924976960 is an apocalyptic number.

2924976960 is a gapful number since it is divisible by the number (20) 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 2924976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279989440).

2924976960 is an abundant number, since it is smaller than the sum of its proper divisors (7635001920).

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

2924976960 is a wasteful number, since it uses less digits than its factorization.

2924976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 2924976960 is about 54083.0561266650. The cubic root of 2924976960 is about 1430.1254979757.

The spelling of 2924976960 in words is "two billion, nine hundred twenty-four million, nine hundred seventy-six thousand, nine hundred sixty".