2232489600000 has 2112 divisors, whose sum is σ = 9441183225600. Its totient is φ = 522547200000.

The previous prime is 2232489599983. The next prime is 2232489600031. The reversal of 2232489600000 is 69842322.

2232489600000 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 48 + 9 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×2232489600000³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76982399986 + ... + 76982400014.

Almost surely, 2^{2232489600000} is an apocalyptic number.

2232489600000 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 2232489600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720591612800).

2232489600000 is an abundant number, since it is smaller than the sum of its proper divisors (7208693625600).

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

2232489600000 is an frugal number, since it uses more digits than its factorization.

2232489600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 2232489 and 600000, that added together give a square (2832489 = 1683²).

The spelling of 2232489600000 in words is "two trillion, two hundred thirty-two billion, four hundred eighty-nine million, six hundred thousand".