2668634805504 has 144 divisors (see below), whose sum is σ = 7194484281600. Its totient is φ = 878053490688.

The previous prime is 2668634805503. The next prime is 2668634805631. The reversal of 2668634805504 is 4055084368662.

It is a happy number.

It is a super-2 number, since 2×2668634805504² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668634805503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40499817 + ... + 40565655.

It is an arithmetic number, because the mean of its divisors is an integer number (49961696400).

Almost surely, 2^{2668634805504} is an apocalyptic number.

2668634805504 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 2668634805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597242140800).

2668634805504 is an abundant number, since it is smaller than the sum of its proper divisors (4525849476096).

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

2668634805504 is an equidigital number, since it uses as much as digits as its factorization.

2668634805504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66540 (or 66526 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 2668634805504 in words is "two trillion, six hundred sixty-eight billion, six hundred thirty-four million, eight hundred five thousand, five hundred four".