2134626193296 has 135 divisors (see below), whose sum is σ = 6034701229011. Its totient is φ = 704382988032.

The previous prime is 2134626193267. The next prime is 2134626193321. The reversal of 2134626193296 is 6923916264312.

The square root of 2134626193296 is 1461036.

It is a perfect power (a square), and thus also a powerful number.

2134626193296 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 6 + 261 + 93 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280497344400 + 1854128848896 = 529620^2 + 1361664^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1911034530 + ... + 1911035646.

Almost surely, 2^{2134626193296} is an apocalyptic number.

2134626193296 is the 1461036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134626193296

2134626193296 is an abundant number, since it is smaller than the sum of its proper divisors (3900075035715).

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

2134626193296 is an equidigital number, since it uses as much as digits as its factorization.

2134626193296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 1231 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 2134626193296 in words is "two trillion, one hundred thirty-four billion, six hundred twenty-six million, one hundred ninety-three thousand, two hundred ninety-six".