2251553280 has 160 divisors (see below), whose sum is σ = 7321406400. Its totient is φ = 590118912.

The previous prime is 2251553273. The next prime is 2251553347. The reversal of 2251553280 is 823551522.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450636 + ... + 455604.

It is an arithmetic number, because the mean of its divisors is an integer number (45758790).

Almost surely, 2^2251553280 is an apocalyptic number.

2251553280 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 2251553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660703200).

2251553280 is an abundant number, since it is smaller than the sum of its proper divisors (5069853120).

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

2251553280 is an equidigital number, since it uses as much as digits as its factorization.

2251553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2251553280 is about 47450.5350865509. The cubic root of 2251553280 is about 1310.6721644237.

The spelling of 2251553280 in words is "two billion, two hundred fifty-one million, five hundred fifty-three thousand, two hundred eighty".