2261621448 has 96 divisors (see below), whose sum is σ = 6385167360. Its totient is φ = 722494080.

The previous prime is 2261621447. The next prime is 2261621501. The reversal of 2261621448 is 8441261622.

2261621448 is a `hidden beast` number, since 2 + 26 + 1 + 621 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×2261621448² = 10229863148107233408, which contains 22 as substring.

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 (2261621447) 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, 172153 + ... + 184823.

It is an arithmetic number, because the mean of its divisors is an integer number (66512160).

Almost surely, 2^2261621448 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 2261621448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192583680).

2261621448 is an abundant number, since it is smaller than the sum of its proper divisors (4123545912).

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

2261621448 is a wasteful number, since it uses less digits than its factorization.

2261621448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12787 (or 12780 counting only the distinct ones).

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

The square root of 2261621448 is about 47556.5079458112. The cubic root of 2261621448 is about 1312.6228839503.

The spelling of 2261621448 in words is "two billion, two hundred sixty-one million, six hundred twenty-one thousand, four hundred forty-eight".