2261063424 has 144 divisors (see below), whose sum is σ = 6181056000. Its totient is φ = 733544448.

The previous prime is 2261063417. The next prime is 2261063429. The reversal of 2261063424 is 4243601622.

It is a super-2 number, since 2×2261063424² = 10224815614701207552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261063391 and 2261063400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261063429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035552 + ... + 5036000.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^2261063424 is an apocalyptic number.

2261063424 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 2261063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528000).

2261063424 is an abundant number, since it is smaller than the sum of its proper divisors (3919992576).

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

2261063424 is an equidigital number, since it uses as much as digits as its factorization.

2261063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2261063424 is about 47550.6406265993. The cubic root of 2261063424 is about 1312.5149178531.

The spelling of 2261063424 in words is "two billion, two hundred sixty-one million, sixty-three thousand, four hundred twenty-four".