2994664400 has 480 divisors, whose sum is σ = 9557721600. Its totient is φ = 894136320.

The previous prime is 2994664397. The next prime is 2994664403. The reversal of 2994664400 is 44664992.

It is an interprime number because it is at equal distance from previous prime (2994664397) and next prime (2994664403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994664403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41022764 + ... + 41022836.

It is an arithmetic number, because the mean of its divisors is an integer number (19911920).

Almost surely, 2^2994664400 is an apocalyptic number.

2994664400 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 2994664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778860800).

2994664400 is an abundant number, since it is smaller than the sum of its proper divisors (6563057200).

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

2994664400 is a wasteful number, since it uses less digits than its factorization.

2994664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 2994664400 is about 54723.5269331208. The cubic root of 2994664400 is about 1441.3940332611.

The spelling of 2994664400 in words is "two billion, nine hundred ninety-four million, six hundred sixty-four thousand, four hundred".