2232258912000 has 1440 divisors, whose sum is σ = 9238821656064. Its totient is φ = 531505152000.

The previous prime is 2232258911921. The next prime is 2232258912017. The reversal of 2232258912000 is 2198522322.

2232258912000 is a `hidden beast` number, since 22 + 32 + 2 + 589 + 1 + 20 + 0 + 0 = 666.

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

It is a super-3 number, since 3×2232258912000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1044574932 + ... + 1044577068.

Almost surely, 2^{2232258912000} is an apocalyptic number.

2232258912000 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 2232258912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619410828032).

2232258912000 is an abundant number, since it is smaller than the sum of its proper divisors (7006562744064).

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

2232258912000 is a wasteful number, since it uses less digits than its factorization.

2232258912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2232258912000 in words is "two trillion, two hundred thirty-two billion, two hundred fifty-eight million, nine hundred twelve thousand".