2953680 has 80 divisors (see below), whose sum is σ = 9475584. Its totient is φ = 760320.

The previous prime is 2953667. The next prime is 2953697. The reversal of 2953680 is 863592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7242 + ... + 7638.

2^2953680 is an apocalyptic number.

2953680 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 2953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737792).

2953680 is an abundant number, since it is smaller than the sum of its proper divisors (6521904).

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

2953680 is a wasteful number, since it uses less digits than its factorization.

2953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2953680 is about 1718.6273592609. The cubic root of 2953680 is about 143.4788258851.

The spelling of 2953680 in words is "two million, nine hundred fifty-three thousand, six hundred eighty".