2261823984 has 120 divisors (see below), whose sum is σ = 7467712512. Its totient is φ = 625380480.

The previous prime is 2261823983. The next prime is 2261824003. The reversal of 2261823984 is 4893281622.

2261823984 is a `hidden beast` number, since 2 + 2 + 618 + 23 + 9 + 8 + 4 = 666.

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 (2261823983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944 + ... + 67439.

Almost surely, 2^2261823984 is an apocalyptic number.

2261823984 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 2261823984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733856256).

2261823984 is an abundant number, since it is smaller than the sum of its proper divisors (5205888528).

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

2261823984 is a wasteful number, since it uses less digits than its factorization.

2261823984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72435 (or 72426 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2261823984 is about 47558.6373227829. The cubic root of 2261823984 is about 1312.6620660827.

The spelling of 2261823984 in words is "two billion, two hundred sixty-one million, eight hundred twenty-three thousand, nine hundred eighty-four".