2137673283328 has 288 divisors, whose sum is σ = 4910909036544. Its totient is φ = 919726080000.

The previous prime is 2137673283289. The next prime is 2137673283371. The reversal of 2137673283328 is 8233823767312.

It is a congruent number.

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, 2271703338 + ... + 2271704278.

It is an arithmetic number, because the mean of its divisors is an integer number (17051767488).

Almost surely, 2^{2137673283328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137673283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455454518272).

2137673283328 is an abundant number, since it is smaller than the sum of its proper divisors (2773235753216).

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

2137673283328 is a wasteful number, since it uses less digits than its factorization.

2137673283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 55.

The spelling of 2137673283328 in words is "two trillion, one hundred thirty-seven billion, six hundred seventy-three million, two hundred eighty-three thousand, three hundred twenty-eight".