2198807520000 has 1440 divisors, whose sum is σ = 9139886300160. Its totient is φ = 456744960000.

The previous prime is 2198807519977. The next prime is 2198807520047. The reversal of 2198807520000 is 257088912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3101279646 + ... + 3101280354.

It is an arithmetic number, because the mean of its divisors is an integer number (6347143264).

Almost surely, 2^{2198807520000} is an apocalyptic number.

2198807520000 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 2198807520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569943150080).

2198807520000 is an abundant number, since it is smaller than the sum of its proper divisors (6941078780160).

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

2198807520000 is an equidigital number, since it uses as much as digits as its factorization.

2198807520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 2198807520000 in words is "two trillion, one hundred ninety-eight billion, eight hundred seven million, five hundred twenty thousand".