2916961920 has 96 divisors (see below), whose sum is σ = 10072654020. Its totient is φ = 777854976.

The previous prime is 2916961907. The next prime is 2916961961. The reversal of 2916961920 is 291696192.

2916961920 is a `hidden beast` number, since 2 + 9 + 1 + 6 + 9 + 619 + 20 = 666.

2916961920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2451438144 + 465523776 = 49512^2 + 21576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247449 + ... + 258968.

Almost surely, 2^2916961920 is an apocalyptic number.

2916961920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2916961920 is an abundant number, since it is smaller than the sum of its proper divisors (7155692100).

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

2916961920 is a wasteful number, since it uses less digits than its factorization.

2916961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506442 (or 506427 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2916961920 is about 54008.9059322627. The cubic root of 2916961920 is about 1428.8180234122.

The spelling of 2916961920 in words is "two billion, nine hundred sixteen million, nine hundred sixty-one thousand, nine hundred twenty".