2253680 has 80 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 752640.

The previous prime is 2253659. The next prime is 2253683. The reversal of 2253680 is 863522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11342 + ... + 11538.

2^2253680 is an apocalyptic number.

2253680 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 2253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2253680 is an abundant number, since it is smaller than the sum of its proper divisors (3933424).

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

2253680 is a wasteful number, since it uses less digits than its factorization.

2253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2253680 is about 1501.2261655061. The cubic root of 2253680 is about 131.1084702672.

The spelling of 2253680 in words is "two million, two hundred fifty-three thousand, six hundred eighty".