2680509144 has 32 divisors (see below), whose sum is σ = 6703542000. Its totient is φ = 893200512.

The previous prime is 2680509137. The next prime is 2680509191. The reversal of 2680509144 is 4419050862.

It is a super-2 number, since 2×2680509144² = 14370258542135225472, 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 7 ways as a sum of consecutive naturals, for example, 60202 + ... + 94790.

Almost surely, 2^2680509144 is an apocalyptic number.

2680509144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2680509144 is an abundant number, since it is smaller than the sum of its proper divisors (4023032856).

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

2680509144 is a wasteful number, since it uses less digits than its factorization.

2680509144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37827 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2680509144 is about 51773.6336758393. The cubic root of 2680509144 is about 1389.1178682563.

The spelling of 2680509144 in words is "two billion, six hundred eighty million, five hundred nine thousand, one hundred forty-four".