2051009416170 has 768 divisors, whose sum is σ = 6699438305280. Its totient is φ = 440168256000.

The previous prime is 2051009416153. The next prime is 2051009416229. The reversal of 2051009416170 is 716149001502.

2051009416170 is a `hidden beast` number, since 20 + 5 + 10 + 0 + 9 + 4 + 1 + 617 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6196402905 + ... + 6196403235.

It is an arithmetic number, because the mean of its divisors is an integer number (8723226960).

Almost surely, 2^{2051009416170} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051009416170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349719152640).

2051009416170 is an abundant number, since it is smaller than the sum of its proper divisors (4648428889110).

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

2051009416170 is a wasteful number, since it uses less digits than its factorization.

2051009416170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 2051009416170 in words is "two trillion, fifty-one billion, nine million, four hundred sixteen thousand, one hundred seventy".