2994116400 has 600 divisors, whose sum is σ = 12145317888. Its totient is φ = 699840000.

The previous prime is 2994116393. The next prime is 2994116407. The reversal of 2994116400 is 46114992.

It is a happy number.

2994116400 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 1 + 1 + 640 + 0 = 666.

2994116400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2994116393) and next prime (2994116407).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994116407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11048265 + ... + 11048535.

Almost surely, 2^2994116400 is an apocalyptic number.

2994116400 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 2994116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072658944).

2994116400 is an abundant number, since it is smaller than the sum of its proper divisors (9151201488).

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

2994116400 is a wasteful number, since it uses less digits than its factorization.

2994116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2994116400 is about 54718.5197168198. The cubic root of 2994116400 is about 1441.3061066456.

The spelling of 2994116400 in words is "two billion, nine hundred ninety-four million, one hundred sixteen thousand, four hundred".