2251520 has 36 divisors (see below), whose sum is σ = 5396160. Its totient is φ = 900096.

The previous prime is 2251517. The next prime is 2251547. The reversal of 2251520 is 251522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401 + ... + 2159.

2^2251520 is an apocalyptic number.

2251520 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 2251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698080).

2251520 is an abundant number, since it is smaller than the sum of its proper divisors (3144640).

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

2251520 is an equidigital number, since it uses as much as digits as its factorization.

2251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2251520 is about 1500.5065811252. The cubic root of 2251520 is about 131.0665706751.

The spelling of 2251520 in words is "two million, two hundred fifty-one thousand, five hundred twenty".