2583668080 has 100 divisors (see below), whose sum is σ = 7008303672. Its totient is φ = 885763200.

The previous prime is 2583668077. The next prime is 2583668081. The reversal of 2583668080 is 808663852.

It is a happy number.

It is a super-2 number, since 2×2583668080² = 13350681495221772800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2583668080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583668081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185355 + ... + 198805.

Almost surely, 2^2583668080 is an apocalyptic number.

2583668080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2583668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504151836).

2583668080 is an abundant number, since it is smaller than the sum of its proper divisors (4424635592).

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

2583668080 is an equidigital number, since it uses as much as digits as its factorization.

2583668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13492 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 2583668080 is about 50829.7951992726. The cubic root of 2583668080 is about 1372.1836488860.

The spelling of 2583668080 in words is "two billion, five hundred eighty-three million, six hundred sixty-eight thousand, eighty".