2977873920 has 360 divisors, whose sum is σ = 11818139424. Its totient is φ = 679477248.

The previous prime is 2977873897. The next prime is 2977873949. The reversal of 2977873920 is 293787792.

It is a tau number, because it is divible by the number of its divisors (360).

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, 5160672 + ... + 5161248.

Almost surely, 2^2977873920 is an apocalyptic number.

2977873920 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 2977873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909069712).

2977873920 is an abundant number, since it is smaller than the sum of its proper divisors (8840265504).

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

2977873920 is an equidigital number, since it uses as much as digits as its factorization.

2977873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 2977873920 is about 54569.8993951794. The cubic root of 2977873920 is about 1438.6951142042.

The spelling of 2977873920 in words is "two billion, nine hundred seventy-seven million, eight hundred seventy-three thousand, nine hundred twenty".