2263641024 has 112 divisors (see below), whose sum is σ = 6140927520. Its totient is φ = 735621120.

The previous prime is 2263641011. The next prime is 2263641043. The reversal of 2263641024 is 4201463622.

It is a junction number, because it is equal to n+sod(n) for n = 2263640982 and 2263641000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841242 + ... + 1842470.

It is an arithmetic number, because the mean of its divisors is an integer number (54829710).

Almost surely, 2^2263641024 is an apocalyptic number.

2263641024 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 2263641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070463760).

2263641024 is an abundant number, since it is smaller than the sum of its proper divisors (3877286496).

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

2263641024 is a wasteful number, since it uses less digits than its factorization.

2263641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

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

The square root of 2263641024 is about 47577.7366422574. The cubic root of 2263641024 is about 1313.0134817359.

The spelling of 2263641024 in words is "two billion, two hundred sixty-three million, six hundred forty-one thousand, twenty-four".