2252400 has 60 divisors (see below), whose sum is σ = 7219032. Its totient is φ = 600320.

The previous prime is 2252399. The next prime is 2252407. The reversal of 2252400 is 42522.

It is a tau number, because it is divible by the number of its divisors (60).

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 2252400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252407) 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, 262 + ... + 2138.

2^2252400 is an apocalyptic number.

2252400 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 2252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609516).

2252400 is an abundant number, since it is smaller than the sum of its proper divisors (4966632).

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

2252400 is a wasteful number, since it uses less digits than its factorization.

2252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1887 counting only the distinct ones).

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

The square root of 2252400 is about 1500.7997867804. The cubic root of 2252400 is about 131.0836441127.

Adding to 2252400 its reverse (42522), we get a palindrome (2294922).

The spelling of 2252400 in words is "two million, two hundred fifty-two thousand, four hundred".