2198842860400 has 240 divisors, whose sum is σ = 5761617840000. Its totient is φ = 803239234560.

The previous prime is 2198842860353. The next prime is 2198842860413. The reversal of 2198842860400 is 40682488912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145236031 + ... + 145251169.

It is an arithmetic number, because the mean of its divisors is an integer number (24006741000).

Almost surely, 2^{2198842860400} is an apocalyptic number.

2198842860400 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 2198842860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880808920000).

2198842860400 is an abundant number, since it is smaller than the sum of its proper divisors (3562774979600).

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

2198842860400 is a wasteful number, since it uses less digits than its factorization.

2198842860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15864 (or 15853 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 2198842860400 in words is "two trillion, one hundred ninety-eight billion, eight hundred forty-two million, eight hundred sixty thousand, four hundred".