2263221632 has 96 divisors (see below), whose sum is σ = 5439125520. Its totient is φ = 918770688.

The previous prime is 2263221629. The next prime is 2263221637. The reversal of 2263221632 is 2361223622.

It is a junction number, because it is equal to n+sod(n) for n = 2263221595 and 2263221604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263221637) 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 11 ways as a sum of consecutive naturals, for example, 319958 + ... + 326954.

Almost surely, 2^2263221632 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 2263221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719562760).

2263221632 is an abundant number, since it is smaller than the sum of its proper divisors (3175903888).

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

2263221632 is an equidigital number, since it uses as much as digits as its factorization.

2263221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7025 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 2263221632 is about 47573.3289985050. The cubic root of 2263221632 is about 1312.9323879941.

The spelling of 2263221632 in words is "two billion, two hundred sixty-three million, two hundred twenty-one thousand, six hundred thirty-two".