2251553200 has 180 divisors, whose sum is σ = 6169274040. Its totient is φ = 787138560.

The previous prime is 2251553149. The next prime is 2251553209. The reversal of 2251553200 is 23551522.

It is a happy number.

2251553200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251553209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1283524 + ... + 1285276.

Almost surely, 2^2251553200 is an apocalyptic number.

2251553200 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 2251553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084637020).

2251553200 is an abundant number, since it is smaller than the sum of its proper divisors (3917720840).

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

2251553200 is a wasteful number, since it uses less digits than its factorization.

2251553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2251553200 is about 47450.5342435678. The cubic root of 2251553200 is about 1310.6721489005.

The spelling of 2251553200 in words is "two billion, two hundred fifty-one million, five hundred fifty-three thousand, two hundred".