2515200 has 108 divisors (see below), whose sum is σ = 8364048. Its totient is φ = 665600.

The previous prime is 2515193. The next prime is 2515237. The reversal of 2515200 is 25152.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2515200.

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, 19135 + ... + 19265.

2^2515200 is an apocalyptic number.

2515200 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 2515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182024).

2515200 is an abundant number, since it is smaller than the sum of its proper divisors (5848848).

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

2515200 is a wasteful number, since it uses less digits than its factorization.

2515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2515200 is about 1585.9382081279. The cubic root of 2515200 is about 135.9953862333.

2515200 divided by its product of nonzero digits (100) gives a palindrome (25152).

Multiplying 2515200 by its reverse (25152), we get a square (63262310400 = 251520²).

2515200 divided by its reverse (25152) gives a square (100 = 10²).

It can be divided in two parts, 25 and 15200, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 2515200 in words is "two million, five hundred fifteen thousand, two hundred".