2677687723144 has 64 divisors (see below), whose sum is σ = 5770320192000. Its totient is φ = 1141098451200.

The previous prime is 2677687723099. The next prime is 2677687723153. The reversal of 2677687723144 is 4413277867762.

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 15 ways as a sum of consecutive naturals, for example, 143404929 + ... + 143423599.

It is an arithmetic number, because the mean of its divisors is an integer number (90161253000).

Almost surely, 2^{2677687723144} is an apocalyptic number.

It is an amenable number.

2677687723144 is an abundant number, since it is smaller than the sum of its proper divisors (3092632468856).

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

2677687723144 is a wasteful number, since it uses less digits than its factorization.

2677687723144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33014 (or 33010 counting only the distinct ones).

The product of its digits is 132765696, while the sum is 64.

The spelling of 2677687723144 in words is "two trillion, six hundred seventy-seven billion, six hundred eighty-seven million, seven hundred twenty-three thousand, one hundred forty-four".