2117356957440 has 216 divisors, whose sum is σ = 7327292879088. Its totient is φ = 564516126720.

The previous prime is 2117356957423. The next prime is 2117356957453. The reversal of 2117356957440 is 447596537112.

2117356957440 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 3 + 5 + 69 + 574 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69231432 + ... + 69262008.

It is an arithmetic number, because the mean of its divisors is an integer number (33922652218).

Almost surely, 2^{2117356957440} is an apocalyptic number.

2117356957440 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 2117356957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663646439544).

2117356957440 is an abundant number, since it is smaller than the sum of its proper divisors (5209935921648).

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

2117356957440 is a wasteful number, since it uses less digits than its factorization.

2117356957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36615 (or 36598 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2117356957440 in words is "two trillion, one hundred seventeen billion, three hundred fifty-six million, nine hundred fifty-seven thousand, four hundred forty".