2976795360 has 960 divisors, whose sum is σ = 13875079680. Its totient is φ = 582266880.

The previous prime is 2976795343. The next prime is 2976795383. The reversal of 2976795360 is 635976792.

It is a super-2 number, since 2×2976795360² = 17722621230635059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2976795297 and 2976795306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18960402 + ... + 18960558.

It is an arithmetic number, because the mean of its divisors is an integer number (14453208).

Almost surely, 2^2976795360 is an apocalyptic number.

2976795360 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 2976795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937539840).

2976795360 is an abundant number, since it is smaller than the sum of its proper divisors (10898284320).

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

2976795360 is a wasteful number, since it uses less digits than its factorization.

2976795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 2976795360 is about 54560.0161290299. The cubic root of 2976795360 is about 1438.5213989495.

The spelling of 2976795360 in words is "two billion, nine hundred seventy-six million, seven hundred ninety-five thousand, three hundred sixty".