2097934961120 has 192 divisors, whose sum is σ = 5079003652800. Its totient is φ = 818654576640.

The previous prime is 2097934961117. The next prime is 2097934961141. The reversal of 2097934961120 is 211694397902.

It is a super-2 number, since 2×2097934961120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721186226 + ... + 721189134.

It is an arithmetic number, because the mean of its divisors is an integer number (26453144025).

Almost surely, 2^{2097934961120} is an apocalyptic number.

2097934961120 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 2097934961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539501826400).

2097934961120 is an abundant number, since it is smaller than the sum of its proper divisors (2981068691680).

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

2097934961120 is a wasteful number, since it uses less digits than its factorization.

2097934961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 2097934961120 in words is "two trillion, ninety-seven billion, nine hundred thirty-four million, nine hundred sixty-one thousand, one hundred twenty".