2252350400 has 126 divisors (see below), whose sum is σ = 5888586648. Its totient is φ = 847769600.

The previous prime is 2252350391. The next prime is 2252350423. The reversal of 2252350400 is 40532522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459965 + ... + 464835.

Almost surely, 2^2252350400 is an apocalyptic number.

2252350400 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 2252350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944293324).

2252350400 is an abundant number, since it is smaller than the sum of its proper divisors (3636236248).

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

2252350400 is a wasteful number, since it uses less digits than its factorization.

2252350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2252350400 is about 47458.9338270467. The cubic root of 2252350400 is about 1310.8268190994.

Adding to 2252350400 its reverse (40532522), we get a palindrome (2292882922).

The spelling of 2252350400 in words is "two billion, two hundred fifty-two million, three hundred fifty thousand, four hundred".