2583663852 has 192 divisors, whose sum is σ = 7953039360. Its totient is φ = 632448000.

The previous prime is 2583663809. The next prime is 2583663857.

2583663852 is nontrivially palindromic in base 10.

Its product of digits (2073600) is a multiple of the sum of its prime divisors (810).

It is not an unprimeable number, because it can be changed into a prime (2583663857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6442852 + ... + 6443252.

It is an arithmetic number, because the mean of its divisors is an integer number (41422080).

Almost surely, 2^2583663852 is an apocalyptic number.

2583663852 is a gapful number since it is divisible by the number (22) 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 2583663852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976519680).

2583663852 is an abundant number, since it is smaller than the sum of its proper divisors (5369375508).

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

2583663852 is a wasteful number, since it uses less digits than its factorization.

2583663852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 2583663852 is about 50829.7536094756. The cubic root of 2583663852 is about 1372.1829003900.

It can be divided in two parts, 2583 and 663852, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 2583663852 in words is "two billion, five hundred eighty-three million, six hundred sixty-three thousand, eight hundred fifty-two".