2264272647 has 48 divisors (see below), whose sum is σ = 3754211328. Its totient is φ = 1188570240.

The previous prime is 2264272631. The next prime is 2264272663. The reversal of 2264272647 is 7462724622.

2264272647 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2264272631) and next prime (2264272663).

It is not a de Polignac number, because 2264272647 - 2⁴ = 2264272631 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2264272599 and 2264272608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264272607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789997 + ... + 792857.

It is an arithmetic number, because the mean of its divisors is an integer number (78212736).

Almost surely, 2^2264272647 is an apocalyptic number.

2264272647 is a deficient number, since it is larger than the sum of its proper divisors (1489938681).

2264272647 is a wasteful number, since it uses less digits than its factorization.

2264272647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3107 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 2264272647 is about 47584.3739792802. The cubic root of 2264272647 is about 1313.1355936169.

It can be divided in two parts, 2264 and 272647, that added together give a triangular number (274911 = T₇₄₁).

The spelling of 2264272647 in words is "two billion, two hundred sixty-four million, two hundred seventy-two thousand, six hundred forty-seven".