2251760 has 40 divisors (see below), whose sum is σ = 5984736. Its totient is φ = 771840.

The previous prime is 2251741. The next prime is 2251771. The reversal of 2251760 is 671522.

2251760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1451 + ... + 2570.

2^2251760 is an apocalyptic number.

2251760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251760 is an abundant number, since it is smaller than the sum of its proper divisors (3732976).

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

2251760 is a wasteful number, since it uses less digits than its factorization.

2251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2251760 is about 1500.5865519856. The cubic root of 2251760 is about 131.0712275083.

The spelling of 2251760 in words is "two million, two hundred fifty-one thousand, seven hundred sixty".