2678023681536 has 160 divisors (see below), whose sum is σ = 8154988047360. Its totient is φ = 765021782016.

The previous prime is 2678023681493. The next prime is 2678023681537. The reversal of 2678023681536 is 6351863208762.

It is a super-2 number, since 2×2678023681536² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678023681537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77902560 + ... + 77936928.

It is an arithmetic number, because the mean of its divisors is an integer number (50968675296).

Almost surely, 2^{2678023681536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678023681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077494023680).

2678023681536 is an abundant number, since it is smaller than the sum of its proper divisors (5476964365824).

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

2678023681536 is an equidigital number, since it uses as much as digits as its factorization.

2678023681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41644 (or 41628 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 2678023681536 in words is "two trillion, six hundred seventy-eight billion, twenty-three million, six hundred eighty-one thousand, five hundred thirty-six".