2117004410880 has 720 divisors, whose sum is σ = 7557066316800. Its totient is φ = 547955933184.

The previous prime is 2117004410819. The next prime is 2117004410891. The reversal of 2117004410880 is 880144007112.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6895779687 + ... + 6895779993.

It is an arithmetic number, because the mean of its divisors is an integer number (10495925440).

Almost surely, 2^{2117004410880} is an apocalyptic number.

2117004410880 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 2117004410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778533158400).

2117004410880 is an abundant number, since it is smaller than the sum of its proper divisors (5440061905920).

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

2117004410880 is a wasteful number, since it uses less digits than its factorization.

2117004410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 2117004410880 its reverse (880144007112), we get a palindrome (2997148417992).

The spelling of 2117004410880 in words is "two trillion, one hundred seventeen billion, four million, four hundred ten thousand, eight hundred eighty".