2993936400 has 1080 divisors, whose sum is σ = 13900211520. Its totient is φ = 582266880.

The previous prime is 2993936389. The next prime is 2993936431. The reversal of 2993936400 is 46393992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80917182 + ... + 80917218.

Almost surely, 2^2993936400 is an apocalyptic number.

2993936400 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 2993936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950105760).

2993936400 is an abundant number, since it is smaller than the sum of its proper divisors (10906275120).

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

2993936400 is a wasteful number, since it uses less digits than its factorization.

2993936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 2993936400 is about 54716.8749107622. The cubic root of 2993936400 is about 1441.2772232998.

The spelling of 2993936400 in words is "two billion, nine hundred ninety-three million, nine hundred thirty-six thousand, four hundred".