2940490800 has 360 divisors, whose sum is σ = 11136360144. Its totient is φ = 714147840.

The previous prime is 2940490789. The next prime is 2940490843. The reversal of 2940490800 is 80940492.

It is a happy number.

2940490800 is a `hidden beast` number, since 2 + 94 + 0 + 490 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2940490800² = 17292972289769280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3884022 + ... + 3884778.

Almost surely, 2^2940490800 is an apocalyptic number.

2940490800 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 2940490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568180072).

2940490800 is an abundant number, since it is smaller than the sum of its proper divisors (8195869344).

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

2940490800 is a wasteful number, since it uses less digits than its factorization.

2940490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2940490800 is about 54226.2925157160. The cubic root of 2940490800 is about 1432.6494640425.

The spelling of 2940490800 in words is "two billion, nine hundred forty million, four hundred ninety thousand, eight hundred".