2117790636480 has 448 divisors, whose sum is σ = 7810731648000. Its totient is φ = 539164200960.

The previous prime is 2117790636449. The next prime is 2117790636491. The reversal of 2117790636480 is 846360977112.

2117790636480 is a `hidden beast` number, since 2 + 1 + 1 + 77 + 90 + 6 + 3 + 6 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107497671 + ... + 107517369.

Almost surely, 2^{2117790636480} is an apocalyptic number.

2117790636480 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 2117790636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905365824000).

2117790636480 is an abundant number, since it is smaller than the sum of its proper divisors (5692941011520).

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

2117790636480 is a wasteful number, since it uses less digits than its factorization.

2117790636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2117790636480 in words is "two trillion, one hundred seventeen billion, seven hundred ninety million, six hundred thirty-six thousand, four hundred eighty".