2634681888 has 72 divisors (see below), whose sum is σ = 7504988400. Its totient is φ = 876749184.

The previous prime is 2634681877. The next prime is 2634681919. The reversal of 2634681888 is 8881864362.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170883 + ... + 185661.

It is an arithmetic number, because the mean of its divisors is an integer number (104235950).

Almost surely, 2^2634681888 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 2634681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752494200).

2634681888 is an abundant number, since it is smaller than the sum of its proper divisors (4870306512).

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

2634681888 is a wasteful number, since it uses less digits than its factorization.

2634681888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15414 (or 15403 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2634681888 is about 51329.1524184844. The cubic root of 2634681888 is about 1381.1559816215.

It can be divided in two parts, 263468 and 1888, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 2634681888 in words is "two billion, six hundred thirty-four million, six hundred eighty-one thousand, eight hundred eighty-eight".