2653680 has 40 divisors (see below), whose sum is σ = 8227152. Its totient is φ = 707584.

The previous prime is 2653633. The next prime is 2653681. The reversal of 2653680 is 863562.

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

It is a super-3 number, since 3×2653680³ = 56061783335748096000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289 + ... + 5768.

2^2653680 is an apocalyptic number.

2653680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2653680 is an abundant number, since it is smaller than the sum of its proper divisors (5573472).

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

2653680 is a wasteful number, since it uses less digits than its factorization.

2653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2653680 is about 1629.0119704901. The cubic root of 2653680 is about 138.4467771538.

It can be divided in two parts, 2653 and 680, that added together give a palindrome (3333).

The spelling of 2653680 in words is "two million, six hundred fifty-three thousand, six hundred eighty".