2916977040 has 120 divisors (see below), whose sum is σ = 9920376960. Its totient is φ = 767999232.

The previous prime is 2916977009. The next prime is 2916977053. The reversal of 2916977040 is 407796192.

2916977040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 31239 + ... + 82521.

It is an arithmetic number, because the mean of its divisors is an integer number (82669808).

Almost surely, 2^2916977040 is an apocalyptic number.

2916977040 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 2916977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960188480).

2916977040 is an abundant number, since it is smaller than the sum of its proper divisors (7003399920).

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

2916977040 is a wasteful number, since it uses less digits than its factorization.

2916977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51381 (or 51372 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2916977040 is about 54009.0459089957. The cubic root of 2916977040 is about 1428.8204921556.

The spelling of 2916977040 in words is "two billion, nine hundred sixteen million, nine hundred seventy-seven thousand, forty".