2440284319 has 24 divisors (see below), whose sum is σ = 2775933440. Its totient is φ = 2141370000.

The previous prime is 2440284313. The next prime is 2440284349. The reversal of 2440284319 is 9134820442.

It is not a de Polignac number, because 2440284319 - 2³ = 2440284311 is a prime.

It is a super-2 number, since 2×2440284319² = 11909975115114587522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440284311) 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 23 ways as a sum of consecutive naturals, for example, 2321344 + ... + 2322394.

Almost surely, 2^2440284319 is an apocalyptic number.

2440284319 is a deficient number, since it is larger than the sum of its proper divisors (335649121).

2440284319 is a wasteful number, since it uses less digits than its factorization.

2440284319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2440284319 is about 49399.2339920368. The cubic root of 2440284319 is about 1346.3153881569.

The spelling of 2440284319 in words is "two billion, four hundred forty million, two hundred eighty-four thousand, three hundred nineteen".