2126702570720 has 576 divisors, whose sum is σ = 6406951219200. Its totient is φ = 666464827392.

The previous prime is 2126702570701. The next prime is 2126702570753. The reversal of 2126702570720 is 270752076212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992393969 + ... + 992396111.

It is an arithmetic number, because the mean of its divisors is an integer number (11123179200).

Almost surely, 2^{2126702570720} is an apocalyptic number.

2126702570720 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 2126702570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203475609600).

2126702570720 is an abundant number, since it is smaller than the sum of its proper divisors (4280248648480).

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

2126702570720 is a wasteful number, since it uses less digits than its factorization.

2126702570720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 2126702570720 in words is "two trillion, one hundred twenty-six billion, seven hundred two million, five hundred seventy thousand, seven hundred twenty".