2893080960 has 576 divisors, whose sum is σ = 12570798240. Its totient is φ = 600145920.

The previous prime is 2893080941. The next prime is 2893080973. The reversal of 2893080960 is 690803982.

2893080960 is a `hidden beast` number, since 289 + 308 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2893080960² = 16739834882229043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878424 + ... + 4879016.

Almost surely, 2^2893080960 is an apocalyptic number.

2893080960 is a gapful number since it is divisible by the number (20) 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 2893080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285399120).

2893080960 is an abundant number, since it is smaller than the sum of its proper divisors (9677717280).

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

2893080960 is a wasteful number, since it uses less digits than its factorization.

2893080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2893080960 is about 53787.3680337679. The cubic root of 2893080960 is about 1424.9081233469.

The spelling of 2893080960 in words is "two billion, eight hundred ninety-three million, eighty thousand, nine hundred sixty".