2940764400 has 360 divisors, whose sum is σ = 12178022640. Its totient is φ = 672053760.

The previous prime is 2940764369. The next prime is 2940764441. The reversal of 2940764400 is 44670492.

2940764400 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 7 + 644 + 0 + 0 = 666.

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

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

It is a congruent number.

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, 526422 + ... + 531978.

Almost surely, 2^2940764400 is an apocalyptic number.

2940764400 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 2940764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089011320).

2940764400 is an abundant number, since it is smaller than the sum of its proper divisors (9237258240).

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

2940764400 is a wasteful number, since it uses less digits than its factorization.

2940764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2940764400 is about 54228.8152184796. The cubic root of 2940764400 is about 1432.6938966178.

The spelling of 2940764400 in words is "two billion, nine hundred forty million, seven hundred sixty-four thousand, four hundred".