2634089664 has 112 divisors (see below), whose sum is σ = 7082869248. Its totient is φ = 863858688.

The previous prime is 2634089641. The next prime is 2634089677. The reversal of 2634089664 is 4669804362.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622869 + ... + 3623595.

It is an arithmetic number, because the mean of its divisors is an integer number (63239904).

Almost surely, 2^2634089664 is an apocalyptic number.

2634089664 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 2634089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541434624).

2634089664 is an abundant number, since it is smaller than the sum of its proper divisors (4448779584).

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

2634089664 is a wasteful number, since it uses less digits than its factorization.

2634089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 2634089664 is about 51323.3832088260. The cubic root of 2634089664 is about 1381.0524884170.

The spelling of 2634089664 in words is "two billion, six hundred thirty-four million, eighty-nine thousand, six hundred sixty-four".