2976890400 has 864 divisors, whose sum is σ = 12717311040. Its totient is φ = 669081600.

The previous prime is 2976890393. The next prime is 2976890429. The reversal of 2976890400 is 40986792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2976890400² = 17723752907224320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44431167 + ... + 44431233.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110).

Almost surely, 2^2976890400 is an apocalyptic number.

2976890400 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 2976890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358655520).

2976890400 is an abundant number, since it is smaller than the sum of its proper divisors (9740420640).

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

2976890400 is a wasteful number, since it uses less digits than its factorization.

2976890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2976890400 is about 54560.8870895626. The cubic root of 2976890400 is about 1438.5367079873.

The spelling of 2976890400 in words is "two billion, nine hundred seventy-six million, eight hundred ninety thousand, four hundred".