2583828720 has 480 divisors, whose sum is σ = 10080854784. Its totient is φ = 609638400.

The previous prime is 2583828701. The next prime is 2583828727. The reversal of 2583828720 is 278283852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583828727) 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 95 ways as a sum of consecutive naturals, for example, 9194980 + ... + 9195260.

Almost surely, 2^2583828720 is an apocalyptic number.

2583828720 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 2583828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040427392).

2583828720 is an abundant number, since it is smaller than the sum of its proper divisors (7497026064).

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

2583828720 is a wasteful number, since it uses less digits than its factorization.

2583828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2583828720 is about 50831.3753502696. The cubic root of 2583828720 is about 1372.2120868801.

The spelling of 2583828720 in words is "two billion, five hundred eighty-three million, eight hundred twenty-eight thousand, seven hundred twenty".