2138458072080 has 320 divisors, whose sum is σ = 7575972249600. Its totient is φ = 494200412160.

The previous prime is 2138458072067. The next prime is 2138458072087. The reversal of 2138458072080 is 802708548312.

It is a super-2 number, since 2×2138458072080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2138458072087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5871457 + ... + 6225023.

It is an arithmetic number, because the mean of its divisors is an integer number (23674913280).

Almost surely, 2^{2138458072080} is an apocalyptic number.

2138458072080 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 2138458072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787986124800).

2138458072080 is an abundant number, since it is smaller than the sum of its proper divisors (5437514177520).

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

2138458072080 is a wasteful number, since it uses less digits than its factorization.

2138458072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353702 (or 353696 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 2138458072080 in words is "two trillion, one hundred thirty-eight billion, four hundred fifty-eight million, seventy-two thousand, eighty".