2198289132000 has 1440 divisors, whose sum is σ = 9201032961120. Its totient is φ = 512394854400.

The previous prime is 2198289131999. The next prime is 2198289132041. The reversal of 2198289132000 is 2319828912.

It is a happy number.

2198289132000 is a `hidden beast` number, since 219 + 8 + 28 + 91 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1040362944 + ... + 1040365056.

It is an arithmetic number, because the mean of its divisors is an integer number (6389606223).

Almost surely, 2^{2198289132000} is an apocalyptic number.

2198289132000 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 2198289132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600516480560).

2198289132000 is an abundant number, since it is smaller than the sum of its proper divisors (7002743829120).

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

2198289132000 is a wasteful number, since it uses less digits than its factorization.

2198289132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2198289132000 in words is "two trillion, one hundred ninety-eight billion, two hundred eighty-nine million, one hundred thirty-two thousand".