2633680 has 40 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 902784.

The previous prime is 2633677. The next prime is 2633681. The reversal of 2633680 is 863362.

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

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2633681) 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, 1792 + ... + 2911.

2^2633680 is an apocalyptic number.

2633680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2633680 is an abundant number, since it is smaller than the sum of its proper divisors (4365872).

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

2633680 is a wasteful number, since it uses less digits than its factorization.

2633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2633680 is about 1622.8616700138. The cubic root of 2633680 is about 138.0980889131.

The spelling of 2633680 in words is "two million, six hundred thirty-three thousand, six hundred eighty".