2198625774288 has 320 divisors, whose sum is σ = 6228887040000. Its totient is φ = 666646751232.

The previous prime is 2198625774217. The next prime is 2198625774307. The reversal of 2198625774288 is 8824775268912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203589913 + ... + 203600711.

It is an arithmetic number, because the mean of its divisors is an integer number (19465272000).

Almost surely, 2^{2198625774288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198625774288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114443520000).

2198625774288 is an abundant number, since it is smaller than the sum of its proper divisors (4030261265712).

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

2198625774288 is a wasteful number, since it uses less digits than its factorization.

2198625774288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10996 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The spelling of 2198625774288 in words is "two trillion, one hundred ninety-eight billion, six hundred twenty-five million, seven hundred seventy-four thousand, two hundred eighty-eight".