2251856400 has 240 divisors, whose sum is σ = 7625511936. Its totient is φ = 566888960.

The previous prime is 2251856357. The next prime is 2251856401. The reversal of 2251856400 is 46581522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251856401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290309 + ... + 2291291.

Almost surely, 2^2251856400 is an apocalyptic number.

2251856400 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 2251856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812755968).

2251856400 is an abundant number, since it is smaller than the sum of its proper divisors (5373655536).

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

2251856400 is a wasteful number, since it uses less digits than its factorization.

2251856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2251856400 is about 47453.7290420890. The cubic root of 2251856400 is about 1310.7309790981.

The spelling of 2251856400 in words is "two billion, two hundred fifty-one million, eight hundred fifty-six thousand, four hundred".