2522400 has 72 divisors (see below), whose sum is σ = 8218224. Its totient is φ = 672000.

The previous prime is 2522393. The next prime is 2522407. The reversal of 2522400 is 42252.

It is an interprime number because it is at equal distance from previous prime (2522393) and next prime (2522407).

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 2522400.

It is not an unprimeable number, because it can be changed into a prime (2522407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1875 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (114142).

2^2522400 is an apocalyptic number.

2522400 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 2522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109112).

2522400 is an abundant number, since it is smaller than the sum of its proper divisors (5695824).

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

2522400 is a wasteful number, since it uses less digits than its factorization.

2522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2522400 is about 1588.2065356873. The cubic root of 2522400 is about 136.1250291967.

Adding to 2522400 its reverse (42252), we get a palindrome (2564652).

The spelling of 2522400 in words is "two million, five hundred twenty-two thousand, four hundred".