2634611664 has 80 divisors (see below), whose sum is σ = 6895183680. Its totient is φ = 866764800.

The previous prime is 2634611657. The next prime is 2634611689. The reversal of 2634611664 is 4661164362.

2634611664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 2030664 + ... + 2031960.

It is an arithmetic number, because the mean of its divisors is an integer number (86189796).

Almost surely, 2^2634611664 is an apocalyptic number.

2634611664 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 2634611664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447591840).

2634611664 is an abundant number, since it is smaller than the sum of its proper divisors (4260572016).

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

2634611664 is a wasteful number, since it uses less digits than its factorization.

2634611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 2634611664 is about 51328.4683582123. The cubic root of 2634611664 is about 1381.1437105437.

The spelling of 2634611664 in words is "two billion, six hundred thirty-four million, six hundred eleven thousand, six hundred sixty-four".