2139383211264 has 432 divisors, whose sum is σ = 7035918120000. Its totient is φ = 640467689472.

The previous prime is 2139383211253. The next prime is 2139383211283. The reversal of 2139383211264 is 4621123839312.

It is a happy number.

2139383211264 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 383 + 2 + 1 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43195987 + ... + 43245485.

It is an arithmetic number, because the mean of its divisors is an integer number (16286847500).

Almost surely, 2^{2139383211264} is an apocalyptic number.

2139383211264 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 2139383211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517959060000).

2139383211264 is an abundant number, since it is smaller than the sum of its proper divisors (4896534908736).

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

2139383211264 is a wasteful number, since it uses less digits than its factorization.

2139383211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49587 (or 49554 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 2139383211264 in words is "two trillion, one hundred thirty-nine billion, three hundred eighty-three million, two hundred eleven thousand, two hundred sixty-four".