2982504 has 64 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 829440.

The previous prime is 2982491. The next prime is 2982517. The reversal of 2982504 is 4052892.

It is an interprime number because it is at equal distance from previous prime (2982491) and next prime (2982517).

It is a super-2 number, since 2×2982504² = 17790660220032, which contains 22 as substring.

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, 6672 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

2^2982504 is an apocalyptic number.

2982504 is a gapful number since it is divisible by the number (24) 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 2982504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

2982504 is an abundant number, since it is smaller than the sum of its proper divisors (5766936).

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

2982504 is a wasteful number, since it uses less digits than its factorization.

2982504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2982504 is about 1726.9927619999. The cubic root of 2982504 is about 143.9440368957.

It can be divided in two parts, 2982 and 504, that added together give a triangular number (3486 = T₈₃).

The spelling of 2982504 in words is "two million, nine hundred eighty-two thousand, five hundred four".