2198905615872 has 960 divisors, whose sum is σ = 7814163861504. Its totient is φ = 604273582080.

The previous prime is 2198905615859. The next prime is 2198905615901. The reversal of 2198905615872 is 2785165098912.

2198905615872 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 9 + 0 + 5 + 615 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2658893923 + ... + 2658894749.

Almost surely, 2^{2198905615872} 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 2198905615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907081930752).

2198905615872 is an abundant number, since it is smaller than the sum of its proper divisors (5615258245632).

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

2198905615872 is an frugal number, since it uses more digits than its factorization.

2198905615872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 2198905615872 in words is "two trillion, one hundred ninety-eight billion, nine hundred five million, six hundred fifteen thousand, eight hundred seventy-two".