2117758303080 has 768 divisors, whose sum is σ = 8661219840000. Its totient is φ = 437564768256.

The previous prime is 2117758302953. The next prime is 2117758303109. The reversal of 2117758303080 is 803038577112.

2117758303080 is a `hidden beast` number, since 21 + 17 + 7 + 583 + 0 + 30 + 8 + 0 = 666.

It is a super-2 number, since 2×2117758303080² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 494454619 + ... + 494458901.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630000).

Almost surely, 2^{2117758303080} is an apocalyptic number.

2117758303080 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 2117758303080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330609920000).

2117758303080 is an abundant number, since it is smaller than the sum of its proper divisors (6543461536920).

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

2117758303080 is a wasteful number, since it uses less digits than its factorization.

2117758303080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2117758303080 in words is "two trillion, one hundred seventeen billion, seven hundred fifty-eight million, three hundred three thousand, eighty".