2977460416 has 56 divisors (see below), whose sum is σ = 6768490400. Its totient is φ = 1273024512.

The previous prime is 2977460413. The next prime is 2977460489. The reversal of 2977460416 is 6140647792.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2977460413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186310 + ... + 201658.

It is an arithmetic number, because the mean of its divisors is an integer number (120865900).

Almost surely, 2^2977460416 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 2977460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384245200).

2977460416 is an abundant number, since it is smaller than the sum of its proper divisors (3791029984).

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

2977460416 is a wasteful number, since it uses less digits than its factorization.

2977460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15801 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 2977460416 is about 54566.1105082633. The cubic root of 2977460416 is about 1438.6285192958.

The spelling of 2977460416 in words is "two billion, nine hundred seventy-seven million, four hundred sixty thousand, four hundred sixteen".