2687992083744 has 288 divisors, whose sum is σ = 7996361700096. Its totient is φ = 783666132480.

The previous prime is 2687992083631. The next prime is 2687992083761. The reversal of 2687992083744 is 4473802997862.

It is a super-2 number, since 2×2687992083744² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 203829919 + ... + 203843105.

It is an arithmetic number, because the mean of its divisors is an integer number (27765144792).

Almost surely, 2^{2687992083744} is an apocalyptic number.

2687992083744 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 2687992083744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998180850048).

2687992083744 is an abundant number, since it is smaller than the sum of its proper divisors (5308369616352).

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

2687992083744 is a wasteful number, since it uses less digits than its factorization.

2687992083744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13388 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 2687992083744 in words is "two trillion, six hundred eighty-seven billion, nine hundred ninety-two million, eighty-three thousand, seven hundred forty-four".