2137016494080 has 2016 divisors, whose sum is σ = 8881166647080. Its totient is φ = 490179133440.

The previous prime is 2137016494079. The next prime is 2137016494111. The reversal of 2137016494080 is 804946107312.

2137016494080 is a `hidden beast` number, since 2 + 1 + 3 + 70 + 16 + 494 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 700930630656 + 1436085863424 = 837216^2 + 1198368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35033057250 + ... + 35033057310.

Almost surely, 2^{2137016494080} is an apocalyptic number.

2137016494080 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 2137016494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440583323540).

2137016494080 is an abundant number, since it is smaller than the sum of its proper divisors (6744150153000).

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

2137016494080 is an equidigital number, since it uses as much as digits as its factorization.

2137016494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2137016494080 in words is "two trillion, one hundred thirty-seven billion, sixteen million, four hundred ninety-four thousand, eighty".