2984968 has 32 divisors (see below), whose sum is σ = 6456960. Its totient is φ = 1267200.

The previous prime is 2984953. The next prime is 2984977. The reversal of 2984968 is 8694892.

It is a super-2 number, since 2×2984968² = 17820067922048, which contains 22 as substring.

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, 8280 + ... + 8632.

It is an arithmetic number, because the mean of its divisors is an integer number (201780).

2^2984968 is an apocalyptic number.

2984968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2984968 is an abundant number, since it is smaller than the sum of its proper divisors (3471992).

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

2984968 is a wasteful number, since it uses less digits than its factorization.

2984968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 2984968 is about 1727.7059935070. The cubic root of 2984968 is about 143.9836658427.

The spelling of 2984968 in words is "two million, nine hundred eighty-four thousand, nine hundred sixty-eight".