2136979285280 has 192 divisors, whose sum is σ = 6125913142272. Its totient is φ = 687698657280.

The previous prime is 2136979285261. The next prime is 2136979285313. The reversal of 2136979285280 is 825829796312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6834770 + ... + 7140590.

It is an arithmetic number, because the mean of its divisors is an integer number (31905797616).

Almost surely, 2^{2136979285280} is an apocalyptic number.

2136979285280 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 2136979285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062956571136).

2136979285280 is an abundant number, since it is smaller than the sum of its proper divisors (3988933856992).

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

2136979285280 is a wasteful number, since it uses less digits than its factorization.

2136979285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306227 (or 306219 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 2136979285280 in words is "two trillion, one hundred thirty-six billion, nine hundred seventy-nine million, two hundred eighty-five thousand, two hundred eighty".