2198921764032 has 280 divisors, whose sum is σ = 7601513981600. Its totient is φ = 628262853120.

The previous prime is 2198921763979. The next prime is 2198921764069. The reversal of 2198921764032 is 2304671298912.

2198921764032 is a `hidden beast` number, since 2 + 19 + 8 + 9 + 217 + 6 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2198921764032.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1159782 + ... + 2396442.

It is an arithmetic number, because the mean of its divisors is an integer number (27148264220).

Almost surely, 2^{2198921764032} 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 2198921764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800756990800).

2198921764032 is an abundant number, since it is smaller than the sum of its proper divisors (5402592217568).

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

2198921764032 is an equidigital number, since it uses as much as digits as its factorization.

2198921764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236706 (or 1236673 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2198921764032 in words is "two trillion, one hundred ninety-eight billion, nine hundred twenty-one million, seven hundred sixty-four thousand, thirty-two".