2033138679264 has 288 divisors, whose sum is σ = 7211031609600. Its totient is φ = 527895244800.

The previous prime is 2033138679259. The next prime is 2033138679293. The reversal of 2033138679264 is 4629768313302.

2033138679264 is a `hidden beast` number, since 2 + 0 + 3 + 313 + 8 + 67 + 9 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2033138679264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66756712 + ... + 66787160.

It is an arithmetic number, because the mean of its divisors is an integer number (25038304200).

Almost surely, 2^{2033138679264} is an apocalyptic number.

2033138679264 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 2033138679264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605515804800).

2033138679264 is an abundant number, since it is smaller than the sum of its proper divisors (5177892930336).

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

2033138679264 is a wasteful number, since it uses less digits than its factorization.

2033138679264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33494 (or 33483 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2033138679264 in words is "two trillion, thirty-three billion, one hundred thirty-eight million, six hundred seventy-nine thousand, two hundred sixty-four".