2977650000 has 360 divisors, whose sum is σ = 11239202520. Its totient is φ = 731520000.

The previous prime is 2977649993. The next prime is 2977650047. The reversal of 2977650000 is 567792.

2977650000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2977230096 + 419904 = 54564^2 + 648^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5849746 + ... + 5850254.

It is an arithmetic number, because the mean of its divisors is an integer number (31220007).

Almost surely, 2^2977650000 is an apocalyptic number.

2977650000 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 2977650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619601260).

2977650000 is an abundant number, since it is smaller than the sum of its proper divisors (8261552520).

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

2977650000 is a wasteful number, since it uses less digits than its factorization.

2977650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2977650000 is about 54567.8476760812. The cubic root of 2977650000 is about 1438.6590526053.

The spelling of 2977650000 in words is "two billion, nine hundred seventy-seven million, six hundred fifty thousand".