2232775218960 has 1200 divisors, whose sum is σ = 9354966212592. Its totient is φ = 490096189440.

The previous prime is 2232775218917. The next prime is 2232775218977. The reversal of 2232775218960 is 698125772322.

2232775218960 is a `hidden beast` number, since 2 + 2 + 3 + 27 + 7 + 521 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1599680016 + 2231175538944 = 39996^2 + 1493712^2 .

It is a super-3 number, since 3×2232775218960³ (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 junction number, because it is equal to n+sod(n) for n = 2232775218897 and 2232775218906.

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 239 ways as a sum of consecutive naturals, for example, 540229054 + ... + 540233186.

Almost surely, 2^{2232775218960} is an apocalyptic number.

2232775218960 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 2232775218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677483106296).

2232775218960 is an abundant number, since it is smaller than the sum of its proper divisors (7122190993632).

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

2232775218960 is a wasteful number, since it uses less digits than its factorization.

2232775218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2232775218960 in words is "two trillion, two hundred thirty-two billion, seven hundred seventy-five million, two hundred eighteen thousand, nine hundred sixty".