2952800 has 36 divisors (see below), whose sum is σ = 7210476. Its totient is φ = 1180800.

The previous prime is 2952799. The next prime is 2952839. The reversal of 2952800 is 82592.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2952800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1046 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (200291).

2^2952800 is an apocalyptic number.

2952800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952800 is an abundant number, since it is smaller than the sum of its proper divisors (4257676).

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

2952800 is a wasteful number, since it uses less digits than its factorization.

2952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2952800 is about 1718.3713219208. The cubic root of 2952800 is about 143.4645754238.

The spelling of 2952800 in words is "two million, nine hundred fifty-two thousand, eight hundred".