2138100058080 has 384 divisors, whose sum is σ = 8640581160960. Its totient is φ = 483669688320.

The previous prime is 2138100058069. The next prime is 2138100058091. The reversal of 2138100058080 is 808500018312.

It is an interprime number because it is at equal distance from previous prime (2138100058069) and next prime (2138100058091).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2568825 + ... + 3297735.

It is an arithmetic number, because the mean of its divisors is an integer number (22501513440).

Almost surely, 2^{2138100058080} is an apocalyptic number.

2138100058080 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 2138100058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320290580480).

2138100058080 is an abundant number, since it is smaller than the sum of its proper divisors (6502481102880).

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

2138100058080 is a wasteful number, since it uses less digits than its factorization.

2138100058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729039 (or 729025 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 2138100058080 in words is "two trillion, one hundred thirty-eight billion, one hundred million, fifty-eight thousand, eighty".