2198484288000 has 5120 divisors, whose sum is σ = 11530781982720. Its totient is φ = 398131200000.

The previous prime is 2198484287971. The next prime is 2198484288001. The reversal of 2198484288000 is 8824848912.

It is a super-4 number, since 4×2198484288000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2198484288001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 53621567980 + ... + 53621568020.

It is an arithmetic number, because the mean of its divisors is an integer number (2252105856).

Almost surely, 2^{2198484288000} is an apocalyptic number.

2198484288000 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 2198484288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765390991360).

2198484288000 is an abundant number, since it is smaller than the sum of its proper divisors (9332297694720).

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

2198484288000 is a wasteful number, since it uses less digits than its factorization.

2198484288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 2198484288000 in words is "two trillion, one hundred ninety-eight billion, four hundred eighty-four million, two hundred eighty-eight thousand".