2664234101600 has 72 divisors (see below), whose sum is σ = 6504328493208. Its totient is φ = 1065649894400.

The previous prime is 2664234101597. The next prime is 2664234101609. The reversal of 2664234101600 is 61014324662.

It is a super-3 number, since 3×2664234101600³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664234101609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25324307 + ... + 25429293.

It is an arithmetic number, because the mean of its divisors is an integer number (90337895739).

Almost surely, 2^{2664234101600} is an apocalyptic number.

2664234101600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2664234101600 is an abundant number, since it is smaller than the sum of its proper divisors (3840094391608).

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

2664234101600 is a wasteful number, since it uses less digits than its factorization.

2664234101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136728 (or 136715 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2664234101600 in words is "two trillion, six hundred sixty-four billion, two hundred thirty-four million, one hundred one thousand, six hundred".