2977106304 has 64 divisors (see below), whose sum is σ = 7949537280. Its totient is φ = 987148800.

The previous prime is 2977106303. The next prime is 2977106369. The reversal of 2977106304 is 4036017792.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977106303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53049 + ... + 93639.

It is an arithmetic number, because the mean of its divisors is an integer number (124211520).

Almost surely, 2^2977106304 is an apocalyptic number.

2977106304 is a gapful number since it is divisible by the number (24) 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 2977106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974768640).

2977106304 is an abundant number, since it is smaller than the sum of its proper divisors (4972430976).

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

2977106304 is a wasteful number, since it uses less digits than its factorization.

2977106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40799 (or 40787 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2977106304 is about 54562.8656138953. The cubic root of 2977106304 is about 1438.5714845807.

The spelling of 2977106304 in words is "two billion, nine hundred seventy-seven million, one hundred six thousand, three hundred four".