2557120 has 56 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 998400.

The previous prime is 2557111. The next prime is 2557127. The reversal of 2557120 is 217552.

It is a junction number, because it is equal to n+sod(n) for n = 2557091 and 2557100.

It is not an unprimeable number, because it can be changed into a prime (2557127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19455 + ... + 19585.

2^2557120 is an apocalyptic number.

2557120 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 2557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2557120 is an abundant number, since it is smaller than the sum of its proper divisors (3679088).

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

2557120 is a wasteful number, since it uses less digits than its factorization.

2557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 2557120 is about 1599.0997467325. The cubic root of 2557120 is about 136.7467572065.

The spelling of 2557120 in words is "two million, five hundred fifty-seven thousand, one hundred twenty".