2117489091744 has 192 divisors, whose sum is σ = 6221842671744. Its totient is φ = 626287251456.

The previous prime is 2117489091677. The next prime is 2117489091749. The reversal of 2117489091744 is 4471909847112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2117489091749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556362 + ... + 4108854.

It is an arithmetic number, because the mean of its divisors is an integer number (32405430582).

Almost surely, 2^{2117489091744} is an apocalyptic number.

2117489091744 is a gapful number since it is divisible by the number (24) 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 2117489091744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110921335872).

2117489091744 is an abundant number, since it is smaller than the sum of its proper divisors (4104353580000).

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

2117489091744 is a wasteful number, since it uses less digits than its factorization.

2117489091744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552639 (or 552631 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 2117489091744 in words is "two trillion, one hundred seventeen billion, four hundred eighty-nine million, ninety-one thousand, seven hundred forty-four".