2251253200 has 120 divisors (see below), whose sum is σ = 6210058880. Its totient is φ = 768268800.

The previous prime is 2251253183. The next prime is 2251253231. The reversal of 2251253200 is 23521522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639445 + ... + 642955.

Almost surely, 2^2251253200 is an apocalyptic number.

2251253200 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 2251253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105029440).

2251253200 is an abundant number, since it is smaller than the sum of its proper divisors (3958805680).

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

2251253200 is a wasteful number, since it uses less digits than its factorization.

2251253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2251253200 is about 47447.3729515133. The cubic root of 2251253200 is about 1310.6139344038.

Adding to 2251253200 its reverse (23521522), we get a palindrome (2274774722).

The spelling of 2251253200 in words is "two billion, two hundred fifty-one million, two hundred fifty-three thousand, two hundred".