2583822828 has 24 divisors (see below), whose sum is σ = 6050231488. Its totient is φ = 858229776.

The previous prime is 2583822823. The next prime is 2583822833. The reversal of 2583822828 is 8282283852.

It is an interprime number because it is at equal distance from previous prime (2583822823) and next prime (2583822833).

It is a super-2 number, since 2×2583822828² = 13352280812987835168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2583822821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377026 + ... + 383817.

Almost surely, 2^2583822828 is an apocalyptic number.

It is an amenable number.

2583822828 is an abundant number, since it is smaller than the sum of its proper divisors (3466408660).

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

2583822828 is a wasteful number, since it uses less digits than its factorization.

2583822828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761133 (or 761131 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 2583822828 is about 50831.3173939059. The cubic root of 2583822828 is about 1372.2110438440.

The spelling of 2583822828 in words is "two billion, five hundred eighty-three million, eight hundred twenty-two thousand, eight hundred twenty-eight".