2117620102400 has 216 divisors, whose sum is σ = 6018882996000. Its totient is φ = 729514598400.

The previous prime is 2117620102399. The next prime is 2117620102421. The reversal of 2117620102400 is 42010267112.

It is a self number, because there is not a number n which added to its sum of digits gives 2117620102400.

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, 546026 + ... + 2129174.

Almost surely, 2^{2117620102400} is an apocalyptic number.

2117620102400 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 2117620102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009441498000).

2117620102400 is an abundant number, since it is smaller than the sum of its proper divisors (3901262893600).

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

2117620102400 is a wasteful number, since it uses less digits than its factorization.

2117620102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583205 (or 1583186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 2117620102400 its reverse (42010267112), we get a palindrome (2159630369512).

The spelling of 2117620102400 in words is "two trillion, one hundred seventeen billion, six hundred twenty million, one hundred two thousand, four hundred".