2264006440 has 32 divisors (see below), whose sum is σ = 5109160680. Its totient is φ = 902909952.

The previous prime is 2264006419. The next prime is 2264006443. The reversal of 2264006440 is 446004622.

It can be written as a sum of positive squares in 4 ways, for example, as 2055896964 + 208109476 = 45342^2 + 14426^2 .

It is a super-2 number, since 2×2264006440² = 10251450320722947200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264006399 and 2264006408.

It is not an unprimeable number, because it can be changed into a prime (2264006443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70497 + ... + 97456.

Almost surely, 2^2264006440 is an apocalyptic number.

2264006440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264006440 is an abundant number, since it is smaller than the sum of its proper divisors (2845154240).

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

2264006440 is a wasteful number, since it uses less digits than its factorization.

2264006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168301 (or 168297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2264006440 is about 47581.5766867808. The cubic root of 2264006440 is about 1313.0841304995.

The spelling of 2264006440 in words is "two billion, two hundred sixty-four million, six thousand, four hundred forty".