2639763168 has 96 divisors (see below), whose sum is σ = 7989601536. Its totient is φ = 747522048.

The previous prime is 2639763167. The next prime is 2639763211. The reversal of 2639763168 is 8613679362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2639763168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2639763167) by changing a digit.

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, 58555 + ... + 93317.

It is an arithmetic number, because the mean of its divisors is an integer number (83225016).

Almost surely, 2^2639763168 is an apocalyptic number.

2639763168 is a gapful number since it is divisible by the number (28) 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 2639763168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994800768).

2639763168 is an abundant number, since it is smaller than the sum of its proper divisors (5349838368).

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

2639763168 is a wasteful number, since it uses less digits than its factorization.

2639763168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34896 (or 34888 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 2639763168 is about 51378.6255946965. The cubic root of 2639763168 is about 1382.0433162473.

The spelling of 2639763168 in words is "two billion, six hundred thirty-nine million, seven hundred sixty-three thousand, one hundred sixty-eight".