2202400 has 36 divisors (see below), whose sum is σ = 5378562. Its totient is φ = 880640.

The previous prime is 2202391. The next prime is 2202407. The reversal of 2202400 is 42022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 163216 = 1428^2 + 404^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202407) 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, 577 + ... + 2176.

2^2202400 is an apocalyptic number.

2202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202400 is an abundant number, since it is smaller than the sum of its proper divisors (3176162).

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

2202400 is a wasteful number, since it uses less digits than its factorization.

2202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2202400 is about 1484.0485167271. The cubic root of 2202400 is about 130.1064217321.

Adding to 2202400 its reverse (42022), we get a palindrome (2244422).

The spelling of 2202400 in words is "two million, two hundred two thousand, four hundred".