2940496800 has 288 divisors, whose sum is σ = 10252593792. Its totient is φ = 729415680.

The previous prime is 2940496787. The next prime is 2940496831. The reversal of 2940496800 is 86940492.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957229 + ... + 3957971.

It is an arithmetic number, because the mean of its divisors is an integer number (35599284).

Almost surely, 2^2940496800 is an apocalyptic number.

2940496800 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 2940496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126296896).

2940496800 is an abundant number, since it is smaller than the sum of its proper divisors (7312096992).

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

2940496800 is a wasteful number, since it uses less digits than its factorization.

2940496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2940496800 is about 54226.3478394037. The cubic root of 2940496800 is about 1432.6504384706.

The spelling of 2940496800 in words is "two billion, nine hundred forty million, four hundred ninety-six thousand, eight hundred".