2197516686240 has 576 divisors, whose sum is σ = 7565069675520. Its totient is φ = 535566090240.

The previous prime is 2197516686229. The next prime is 2197516686247. The reversal of 2197516686240 is 426866157912.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2197516686247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099459006 + ... + 3099459714.

It is an arithmetic number, because the mean of its divisors is an integer number (13133801520).

Almost surely, 2^{2197516686240} is an apocalyptic number.

2197516686240 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 2197516686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782534837760).

2197516686240 is an abundant number, since it is smaller than the sum of its proper divisors (5367552989280).

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

2197516686240 is a wasteful number, since it uses less digits than its factorization.

2197516686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 2197516686240 in words is "two trillion, one hundred ninety-seven billion, five hundred sixteen million, six hundred eighty-six thousand, two hundred forty".