2126705972328 has 320 divisors, whose sum is σ = 6920698498560. Its totient is φ = 597575366784.

The previous prime is 2126705972273. The next prime is 2126705972333. The reversal of 2126705972328 is 8232795076212.

2126705972328 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 7 + 0 + 597 + 23 + 28 = 666.

It is a Cunningham number, because it is equal to 1458323²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 195409975 + ... + 195420857.

It is an arithmetic number, because the mean of its divisors is an integer number (21627182808).

Almost surely, 2^{2126705972328} is an apocalyptic number.

2126705972328 is a gapful number since it is divisible by the number (28) 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 2126705972328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460349249280).

2126705972328 is an abundant number, since it is smaller than the sum of its proper divisors (4793992526232).

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

2126705972328 is a wasteful number, since it uses less digits than its factorization.

2126705972328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2126705972328 in words is "two trillion, one hundred twenty-six billion, seven hundred five million, nine hundred seventy-two thousand, three hundred twenty-eight".