2982509440 has 128 divisors (see below), whose sum is σ = 7287084000. Its totient is φ = 1167065088.

The previous prime is 2982509419. The next prime is 2982509471. The reversal of 2982509440 is 449052892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2982509440² = 17790725119378227200, which contains 22 as substring.

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, 6642336 + ... + 6642784.

Almost surely, 2^2982509440 is an apocalyptic number.

2982509440 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 2982509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643542000).

2982509440 is an abundant number, since it is smaller than the sum of its proper divisors (4304574560).

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

2982509440 is a wasteful number, since it uses less digits than its factorization.

2982509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2982509440 is about 54612.3561110487. The cubic root of 2982509440 is about 1439.4412441222.

The spelling of 2982509440 in words is "two billion, nine hundred eighty-two million, five hundred nine thousand, four hundred forty".