2263761432 has 80 divisors (see below), whose sum is σ = 6421034400. Its totient is φ = 745018560.

The previous prime is 2263761427. The next prime is 2263761433. The reversal of 2263761432 is 2341673622.

2263761432 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 7 + 614 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263761433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29082 + ... + 73302.

It is an arithmetic number, because the mean of its divisors is an integer number (80262930).

Almost surely, 2^2263761432 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 2263761432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210517200).

2263761432 is an abundant number, since it is smaller than the sum of its proper divisors (4157272968).

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

2263761432 is a wasteful number, since it uses less digits than its factorization.

2263761432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44318 (or 44305 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2263761432 is about 47579.0020071880. The cubic root of 2263761432 is about 1313.0367620061.

The spelling of 2263761432 in words is "two billion, two hundred sixty-three million, seven hundred sixty-one thousand, four hundred thirty-two".