2893968000 has 1280 divisors, whose sum is σ = 13862534400. Its totient is φ = 580608000.

The previous prime is 2893967977. The next prime is 2893968013. The reversal of 2893968000 is 8693982.

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 159 ways as a sum of consecutive naturals, for example, 99791986 + ... + 99792014.

It is an arithmetic number, because the mean of its divisors is an integer number (10830105).

Almost surely, 2^2893968000 is an apocalyptic number.

2893968000 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 2893968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931267200).

2893968000 is an abundant number, since it is smaller than the sum of its proper divisors (10968566400).

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

2893968000 is a wasteful number, since it uses less digits than its factorization.

2893968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2893968000 is about 53795.6132040522. The cubic root of 2893968000 is about 1425.0537375857.

The spelling of 2893968000 in words is "two billion, eight hundred ninety-three million, nine hundred sixty-eight thousand".