2108993988096 has 1600 divisors, whose sum is σ = 7459658712000. Its totient is φ = 588597166080.

The previous prime is 2108993988089. The next prime is 2108993988097. The reversal of 2108993988096 is 6908893998012.

It is a happy number.

2108993988096 is a `hidden beast` number, since 210 + 89 + 93 + 98 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108993988097) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23696561620 + ... + 23696561708.

It is an arithmetic number, because the mean of its divisors is an integer number (4662286695).

Almost surely, 2^{2108993988096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108993988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729829356000).

2108993988096 is an abundant number, since it is smaller than the sum of its proper divisors (5350664723904).

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

2108993988096 is a wasteful number, since it uses less digits than its factorization.

2108993988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 2108993988096 in words is "two trillion, one hundred eight billion, nine hundred ninety-three million, nine hundred eighty-eight thousand, ninety-six".