2117650974120 has 1024 divisors, whose sum is σ = 8281906560000. Its totient is φ = 479597690880.

The previous prime is 2117650974071. The next prime is 2117650974143. The reversal of 2117650974120 is 214790567112.

2117650974120 is a `hidden beast` number, since 2 + 1 + 1 + 76 + 509 + 74 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4716371656 + ... + 4716372104.

It is an arithmetic number, because the mean of its divisors is an integer number (8087799375).

Almost surely, 2^{2117650974120} is an apocalyptic number.

2117650974120 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 2117650974120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140953280000).

2117650974120 is an abundant number, since it is smaller than the sum of its proper divisors (6164255585880).

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

2117650974120 is a wasteful number, since it uses less digits than its factorization.

2117650974120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2117650974120 in words is "two trillion, one hundred seventeen billion, six hundred fifty million, nine hundred seventy-four thousand, one hundred twenty".