2197015072560 has 1440 divisors, whose sum is σ = 9839850209280. Its totient is φ = 428802232320.

The previous prime is 2197015072523. The next prime is 2197015072607. The reversal of 2197015072560 is 652705107912.

2197015072560 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 0 + 15 + 0 + 72 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1471543174 + ... + 1471544666.

It is an arithmetic number, because the mean of its divisors is an integer number (6833229312).

Almost surely, 2^{2197015072560} is an apocalyptic number.

2197015072560 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 2197015072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919925104640).

2197015072560 is an abundant number, since it is smaller than the sum of its proper divisors (7642835136720).

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

2197015072560 is a wasteful number, since it uses less digits than its factorization.

2197015072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 2197015072560 in words is "two trillion, one hundred ninety-seven billion, fifteen million, seventy-two thousand, five hundred sixty".