2241162864 has 80 divisors (see below), whose sum is σ = 6529066240. Its totient is φ = 735894720.

The previous prime is 2241162863. The next prime is 2241162907. The reversal of 2241162864 is 4682611422.

2241162864 is a `hidden beast` number, since 2 + 24 + 1 + 1 + 628 + 6 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241162863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9772 + ... + 67659.

It is an arithmetic number, because the mean of its divisors is an integer number (81613328).

Almost surely, 2^2241162864 is an apocalyptic number.

2241162864 is a gapful number since it is divisible by the number (24) 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 2241162864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264533120).

2241162864 is an abundant number, since it is smaller than the sum of its proper divisors (4287903376).

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

2241162864 is a wasteful number, since it uses less digits than its factorization.

2241162864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77515 (or 77503 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2241162864 is about 47340.9216640318. The cubic root of 2241162864 is about 1308.6529018857.

The spelling of 2241162864 in words is "two billion, two hundred forty-one million, one hundred sixty-two thousand, eight hundred sixty-four".