2251955200 has 198 divisors, whose sum is σ = 6144160568. Its totient is φ = 817766400.

The previous prime is 2251955179. The next prime is 2251955203. The reversal of 2251955200 is 25591522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251955203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3097237 + ... + 3097963.

Almost surely, 2^2251955200 is an apocalyptic number.

2251955200 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 2251955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072080284).

2251955200 is an abundant number, since it is smaller than the sum of its proper divisors (3892205368).

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

2251955200 is a wasteful number, since it uses less digits than its factorization.

2251955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 2251955200 is about 47454.7700447489. The cubic root of 2251955200 is about 1310.7501482196.

The spelling of 2251955200 in words is "two billion, two hundred fifty-one million, nine hundred fifty-five thousand, two hundred".