2976450624 has 336 divisors, whose sum is σ = 10650931200. Its totient is φ = 805095936.

The previous prime is 2976450599. The next prime is 2976450667. The reversal of 2976450624 is 4260546792.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 2976450624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067697 + ... + 2069135.

It is an arithmetic number, because the mean of its divisors is an integer number (31699200).

Almost surely, 2^2976450624 is an apocalyptic number.

2976450624 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 2976450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325465600).

2976450624 is an abundant number, since it is smaller than the sum of its proper divisors (7674480576).

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

2976450624 is a wasteful number, since it uses less digits than its factorization.

2976450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2976450624 is about 54556.8568009558. The cubic root of 2976450624 is about 1438.4658661591.

The spelling of 2976450624 in words is "two billion, nine hundred seventy-six million, four hundred fifty thousand, six hundred twenty-four".