2984640 has 56 divisors (see below), whose sum is σ = 9479280. Its totient is φ = 795648.

The previous prime is 2984629. The next prime is 2984671. The reversal of 2984640 is 464892.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 2514.

2^2984640 is an apocalyptic number.

2984640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2984640 is an abundant number, since it is smaller than the sum of its proper divisors (6494640).

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

2984640 is a wasteful number, since it uses less digits than its factorization.

2984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2984640 is about 1727.6110673413. The cubic root of 2984640 is about 143.9783918194.

The spelling of 2984640 in words is "two million, nine hundred eighty-four thousand, six hundred forty".