2097608713200 has 2880 divisors, whose sum is σ = 10444264857600. Its totient is φ = 388675584000.

The previous prime is 2097608713163. The next prime is 2097608713217. The reversal of 2097608713200 is 23178067902.

2097608713200 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 608 + 7 + 1 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3686482516 + ... + 3686483084.

Almost surely, 2^{2097608713200} is an apocalyptic number.

2097608713200 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 2097608713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222132428800).

2097608713200 is an abundant number, since it is smaller than the sum of its proper divisors (8346656144400).

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

2097608713200 is a wasteful number, since it uses less digits than its factorization.

2097608713200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2097608713200 in words is "two trillion, ninety-seven billion, six hundred eight million, seven hundred thirteen thousand, two hundred".