2682985344 has 256 divisors, whose sum is σ = 8143027200. Its totient is φ = 776724480.

The previous prime is 2682985321. The next prime is 2682985391. The reversal of 2682985344 is 4435892862.

It is a happy number.

It is a super-2 number, since 2×2682985344² = 14396820712237596672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6224809 + ... + 6225239.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700).

Almost surely, 2^2682985344 is an apocalyptic number.

2682985344 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 2682985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071513600).

2682985344 is an abundant number, since it is smaller than the sum of its proper divisors (5460041856).

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

2682985344 is a wasteful number, since it uses less digits than its factorization.

2682985344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 2682985344 is about 51797.5418721777. The cubic root of 2682985344 is about 1389.5454829169.

The spelling of 2682985344 in words is "two billion, six hundred eighty-two million, nine hundred eighty-five thousand, three hundred forty-four".