2126781490176 has 264 divisors, whose sum is σ = 7387716015680. Its totient is φ = 575669846016.

The previous prime is 2126781490153. The next prime is 2126781490247. The reversal of 2126781490176 is 6710941876212.

2126781490176 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 7 + 81 + 490 + 1 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358170 + ... + 2093286.

Almost surely, 2^{2126781490176} 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 2126781490176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693858007840).

2126781490176 is an abundant number, since it is smaller than the sum of its proper divisors (5260934525504).

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

2126781490176 is a wasteful number, since it uses less digits than its factorization.

2126781490176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735169 (or 1735148 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2126781490176 in words is "two trillion, one hundred twenty-six billion, seven hundred eighty-one million, four hundred ninety thousand, one hundred seventy-six".