2262681216 has 160 divisors (see below), whose sum is σ = 6770204100. Its totient is φ = 750145536.

The previous prime is 2262681193. The next prime is 2262681217. The reversal of 2262681216 is 6121862622.

It is a happy number.

2262681216 is a `hidden beast` number, since 2 + 2 + 626 + 8 + 1 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2156673600 + 106007616 = 46440^2 + 10296^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2262681217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2373796 + ... + 2374748.

Almost surely, 2^2262681216 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 2262681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385102050).

2262681216 is an abundant number, since it is smaller than the sum of its proper divisors (4507522884).

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

2262681216 is an equidigital number, since it uses as much as digits as its factorization.

2262681216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1187 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2262681216 is about 47567.6488382598. The cubic root of 2262681216 is about 1312.8278782485.

The spelling of 2262681216 in words is "two billion, two hundred sixty-two million, six hundred eighty-one thousand, two hundred sixteen".