2138936540000 has 480 divisors, whose sum is σ = 5757264285696. Its totient is φ = 777288960000.

The previous prime is 2138936539913. The next prime is 2138936540051. The reversal of 2138936540000 is 456398312.

It is a self number, because there is not a number n which added to its sum of digits gives 2138936540000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6967219847 + ... + 6967220153.

Almost surely, 2^{2138936540000} is an apocalyptic number.

2138936540000 is a gapful number since it is divisible by the number (20) 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 2138936540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878632142848).

2138936540000 is an abundant number, since it is smaller than the sum of its proper divisors (3618327745696).

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

2138936540000 is a wasteful number, since it uses less digits than its factorization.

2138936540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 2138936540000 in words is "two trillion, one hundred thirty-eight billion, nine hundred thirty-six million, five hundred forty thousand".