2977712928 has 120 divisors (see below), whose sum is σ = 9272647692. Its totient is φ = 934170624.

The previous prime is 2977712909. The next prime is 2977712929. The reversal of 2977712928 is 8292177792.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2943279504 + 34433424 = 54252^2 + 5868^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2977712929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10276 + ... + 77852.

Almost surely, 2^2977712928 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 2977712928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636323846).

2977712928 is an abundant number, since it is smaller than the sum of its proper divisors (6294934764).

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

2977712928 is a wasteful number, since it uses less digits than its factorization.

2977712928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67616 (or 67599 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 2977712928 is about 54568.4242763157. The cubic root of 2977712928 is about 1438.6691871408.

The spelling of 2977712928 in words is "two billion, nine hundred seventy-seven million, seven hundred twelve thousand, nine hundred twenty-eight".