2977212672 has 504 divisors, whose sum is σ = 10616405184. Its totient is φ = 815173632.

The previous prime is 2977212661. The next prime is 2977212677. The reversal of 2977212672 is 2762127792.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (296352) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (2977212677) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 56173798 + ... + 56173850.

It is an arithmetic number, because the mean of its divisors is an integer number (21064296).

Almost surely, 2^2977212672 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 2977212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308202592).

2977212672 is an abundant number, since it is smaller than the sum of its proper divisors (7639192512).

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

2977212672 is an frugal number, since it uses more digits than its factorization.

2977212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 2977212672 is about 54563.8403340527. The cubic root of 2977212672 is about 1438.5886171175.

The spelling of 2977212672 in words is "two billion, nine hundred seventy-seven million, two hundred twelve thousand, six hundred seventy-two".