2994001920 has 1152 divisors, whose sum is σ = 14116939200. Its totient is φ = 594542592.

The previous prime is 2994001897. The next prime is 2994001921. The reversal of 2994001920 is 291004992.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (2994001921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176117752 + ... + 176117768.

Almost surely, 2^2994001920 is an apocalyptic number.

2994001920 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 2994001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600).

2994001920 is an abundant number, since it is smaller than the sum of its proper divisors (11122937280).

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

2994001920 is a wasteful number, since it uses less digits than its factorization.

2994001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2994001920 is about 54717.4736258903. The cubic root of 2994001920 is about 1441.2877369717.

The spelling of 2994001920 in words is "two billion, nine hundred ninety-four million, one thousand, nine hundred twenty".