2782288413 has 32 divisors (see below), whose sum is σ = 4234809600. Its totient is φ = 1804320000.

The previous prime is 2782288393. The next prime is 2782288423. The reversal of 2782288413 is 3148822872.

2782288413 is a `hidden beast` number, since 2 + 7 + 8 + 228 + 8 + 413 = 666.

It is not a de Polignac number, because 2782288413 - 2⁹ = 2782287901 is a prime.

It is a super-2 number, since 2×2782288413² = 15482257626228117138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782288423) 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 31 ways as a sum of consecutive naturals, for example, 393913 + ... + 400913.

It is an arithmetic number, because the mean of its divisors is an integer number (132337800).

Almost surely, 2^2782288413 is an apocalyptic number.

It is an amenable number.

2782288413 is a deficient number, since it is larger than the sum of its proper divisors (1452521187).

2782288413 is a wasteful number, since it uses less digits than its factorization.

2782288413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7404 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 2782288413 is about 52747.4019549778. The cubic root of 2782288413 is about 1406.4815807768.

The spelling of 2782288413 in words is "two billion, seven hundred eighty-two million, two hundred eighty-eight thousand, four hundred thirteen".