2968800 has 72 divisors (see below), whose sum is σ = 9671256. Its totient is φ = 791040.

The previous prime is 2968787. The next prime is 2968813. The reversal of 2968800 is 88692.

It is an interprime number because it is at equal distance from previous prime (2968787) and next prime (2968813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1782 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (134323).

2^2968800 is an apocalyptic number.

2968800 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 2968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835628).

2968800 is an abundant number, since it is smaller than the sum of its proper divisors (6702456).

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

2968800 is a wasteful number, since it uses less digits than its factorization.

2968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2968800 is about 1723.0206034752. The cubic root of 2968800 is about 143.7232338318.

The spelling of 2968800 in words is "two million, nine hundred sixty-eight thousand, eight hundred".