2198516808840 has 512 divisors, whose sum is σ = 7527168000000. Its totient is φ = 509029678080.

The previous prime is 2198516808833. The next prime is 2198516808871. The reversal of 2198516808840 is 488086158912.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 666417511 + ... + 666420809.

It is an arithmetic number, because the mean of its divisors is an integer number (14701500000).

Almost surely, 2^{2198516808840} is an apocalyptic number.

2198516808840 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 2198516808840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763584000000).

2198516808840 is an abundant number, since it is smaller than the sum of its proper divisors (5328651191160).

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

2198516808840 is a wasteful number, since it uses less digits than its factorization.

2198516808840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 60.

The spelling of 2198516808840 in words is "two trillion, one hundred ninety-eight billion, five hundred sixteen million, eight hundred eight thousand, eight hundred forty".