2251307520 has 960 divisors, whose sum is σ = 10295341056. Its totient is φ = 457850880.

The previous prime is 2251307519. The next prime is 2251307533. The reversal of 2251307520 is 257031522.

2251307520 is a `hidden beast` number, since 2 + 2 + 5 + 130 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900137 + ... + 47900183.

Almost surely, 2^2251307520 is an apocalyptic number.

2251307520 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 2251307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147670528).

2251307520 is an abundant number, since it is smaller than the sum of its proper divisors (8044033536).

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

2251307520 is an equidigital number, since it uses as much as digits as its factorization.

2251307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2251307520 is about 47447.9453717440. The cubic root of 2251307520 is about 1310.6244754921.

The spelling of 2251307520 in words is "two billion, two hundred fifty-one million, three hundred seven thousand, five hundred twenty".