2553760 has 48 divisors (see below), whose sum is σ = 6586272. Its totient is φ = 928000.

The previous prime is 2553751. The next prime is 2553781. The reversal of 2553760 is 673552.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

2^2553760 is an apocalyptic number.

2553760 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 2553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136).

2553760 is an abundant number, since it is smaller than the sum of its proper divisors (4032512).

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

2553760 is a wasteful number, since it uses less digits than its factorization.

2553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 2553760 is about 1598.0488102683. The cubic root of 2553760 is about 136.6868368670.

The spelling of 2553760 in words is "two million, five hundred fifty-three thousand, seven hundred sixty".