2263429791 has 16 divisors (see below), whose sum is σ = 3832262400. Its totient is φ = 1293388344.

The previous prime is 2263429771. The next prime is 2263429801. The reversal of 2263429791 is 1979243622.

2263429791 is a `hidden beast` number, since 2 + 2 + 634 + 2 + 9 + 7 + 9 + 1 = 666.

It is not a de Polignac number, because 2263429791 - 2¹⁴ = 2263413407 is a prime.

It is a super-2 number, since 2×2263429791² = 10246228837572607362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263429741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5987721 + ... + 5988098.

It is an arithmetic number, because the mean of its divisors is an integer number (239516400).

Almost surely, 2^2263429791 is an apocalyptic number.

2263429791 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2263429791 is a deficient number, since it is larger than the sum of its proper divisors (1568832609).

2263429791 is a wasteful number, since it uses less digits than its factorization.

2263429791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975835 (or 11975829 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2263429791 is about 47575.5167181608. The cubic root of 2263429791 is about 1312.9726389224.

It can be divided in two parts, 22634 and 29791, that added together give a palindrome (52425).

The spelling of 2263429791 in words is "two billion, two hundred sixty-three million, four hundred twenty-nine thousand, seven hundred ninety-one".