2949680 has 20 divisors (see below), whose sum is σ = 6858192. Its totient is φ = 1179840.

The previous prime is 2949679. The next prime is 2949701. The reversal of 2949680 is 869492.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2949680² = 17401224204800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18356 + ... + 18515.

2^2949680 is an apocalyptic number.

2949680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2949680 is an abundant number, since it is smaller than the sum of its proper divisors (3908512).

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

2949680 is a wasteful number, since it uses less digits than its factorization.

2949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36884 (or 36878 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2949680 is about 1717.4632456038. The cubic root of 2949680 is about 143.4140282347.

The spelling of 2949680 in words is "two million, nine hundred forty-nine thousand, six hundred eighty".