2198845440000 has 1500 divisors, whose sum is σ = 8992277431368. Its totient is φ = 530841600000.

The previous prime is 2198845439969. The next prime is 2198845440013. The reversal of 2198845440000 is 445488912.

2198845440000 is a `hidden beast` number, since 2 + 198 + 8 + 4 + 54 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1500).

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 99 ways as a sum of consecutive naturals, for example, 9123839880 + ... + 9123840120.

Almost surely, 2^{2198845440000} is an apocalyptic number.

2198845440000 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 2198845440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496138715684).

2198845440000 is an abundant number, since it is smaller than the sum of its proper divisors (6793431991368).

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

2198845440000 is an frugal number, since it uses more digits than its factorization.

2198845440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2198845440000 in words is "two trillion, one hundred ninety-eight billion, eight hundred forty-five million, four hundred forty thousand".