2940892900 has 243 divisors, whose sum is σ = 7717344817. Its totient is φ = 971801600.

The previous prime is 2940892897. The next prime is 2940892909. The reversal of 2940892900 is 92980492.

It is a happy number.

The square root of 2940892900 is 54230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 958150116 + 1982742784 = 30954^2 + 44528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2940892909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101410086 + ... + 101410114.

Almost surely, 2^2940892900 is an apocalyptic number.

2940892900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2940892900 is the 54230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940892900

2940892900 is an abundant number, since it is smaller than the sum of its proper divisors (4776451917).

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

2940892900 is a wasteful number, since it uses less digits than its factorization.

2940892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 2940892900 is about 1432.7147640363.

The spelling of 2940892900 in words is "two billion, nine hundred forty million, eight hundred ninety-two thousand, nine hundred".