2657280 has 88 divisors (see below), whose sum is σ = 8548272. Its totient is φ = 704512.

The previous prime is 2657279. The next prime is 2657293. The reversal of 2657280 is 827562.

It is a super-2 number, since 2×2657280² = 14122273996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15274 + ... + 15446.

2^2657280 is an apocalyptic number.

2657280 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 2657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274136).

2657280 is an abundant number, since it is smaller than the sum of its proper divisors (5890992).

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

2657280 is a wasteful number, since it uses less digits than its factorization.

2657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2657280 is about 1630.1165602496. The cubic root of 2657280 is about 138.5093548052.

The spelling of 2657280 in words is "two million, six hundred fifty-seven thousand, two hundred eighty".