2097898140672 has 176 divisors, whose sum is σ = 6220067913280. Its totient is φ = 698499293184.

The previous prime is 2097898140661. The next prime is 2097898140683. The reversal of 2097898140672 is 2760418987902.

2097898140672 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 89 + 81 + 406 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2097898140661) and next prime (2097898140683).

It is a super-3 number, since 3×2097898140672³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24370218 + ... + 24456150.

Almost surely, 2^{2097898140672} 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 2097898140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110033956640).

2097898140672 is an abundant number, since it is smaller than the sum of its proper divisors (4122169772608).

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

2097898140672 is an equidigital number, since it uses as much as digits as its factorization.

2097898140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86845 (or 86821 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2097898140672 in words is "two trillion, ninety-seven billion, eight hundred ninety-eight million, one hundred forty thousand, six hundred seventy-two".