2976805104 has 320 divisors, whose sum is σ = 9866701824. Its totient is φ = 752467968.

The previous prime is 2976805087. The next prime is 2976805127. The reversal of 2976805104 is 4015086792.

2976805104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2976805104² = 17722737254400901632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18262527 + ... + 18262689.

Almost surely, 2^2976805104 is an apocalyptic number.

2976805104 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 2976805104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933350912).

2976805104 is an abundant number, since it is smaller than the sum of its proper divisors (6889896720).

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

2976805104 is a wasteful number, since it uses less digits than its factorization.

2976805104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2976805104 is about 54560.1054251181. The cubic root of 2976805104 is about 1438.5229685274.

The spelling of 2976805104 in words is "two billion, nine hundred seventy-six million, eight hundred five thousand, one hundred four".