2232080187768 has 448 divisors, whose sum is σ = 6612226790400. Its totient is φ = 705379933440.

The previous prime is 2232080187767. The next prime is 2232080187769. The reversal of 2232080187768 is 8677810802322.

2232080187768 is a `hidden beast` number, since 2 + 2 + 320 + 80 + 187 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2232080187767) and next prime (2232080187769).

It is a super-3 number, since 3×2232080187768³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232080187767) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1208488621 + ... + 1208490467.

It is an arithmetic number, because the mean of its divisors is an integer number (14759434800).

Almost surely, 2^{2232080187768} 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 2232080187768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306113395200).

2232080187768 is an abundant number, since it is smaller than the sum of its proper divisors (4380146602632).

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

2232080187768 is a wasteful number, since it uses less digits than its factorization.

2232080187768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2232080187768 in words is "two trillion, two hundred thirty-two billion, eighty million, one hundred eighty-seven thousand, seven hundred sixty-eight".