2915200 has 48 divisors (see below), whose sum is σ = 7209360. Its totient is φ = 1164800.

The previous prime is 2915191. The next prime is 2915201. The reversal of 2915200 is 25192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2915201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2745 + ... + 3655.

It is an arithmetic number, because the mean of its divisors is an integer number (150195).

2^2915200 is an apocalyptic number.

2915200 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 2915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604680).

2915200 is an abundant number, since it is smaller than the sum of its proper divisors (4294160).

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

2915200 is an equidigital number, since it uses as much as digits as its factorization.

2915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2915200 is about 1707.3956776330. The cubic root of 2915200 is about 142.8530284529.

The spelling of 2915200 in words is "two million, nine hundred fifteen thousand, two hundred".