2582442852 has 96 divisors (see below), whose sum is σ = 6875172864. Its totient is φ = 746803200.

The previous prime is 2582442833. The next prime is 2582442881.

It is a happy number.

2582442852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2582442852² = 13338022167691787808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945413 + ... + 1946739.

It is an arithmetic number, because the mean of its divisors is an integer number (71616384).

Almost surely, 2^2582442852 is an apocalyptic number.

2582442852 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 2582442852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437586432).

2582442852 is an abundant number, since it is smaller than the sum of its proper divisors (4292730012).

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

2582442852 is a wasteful number, since it uses less digits than its factorization.

2582442852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2007 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 2582442852 is about 50817.7415082567. The cubic root of 2582442852 is about 1371.9667087832.

The spelling of 2582442852 in words is "two billion, five hundred eighty-two million, four hundred forty-two thousand, eight hundred fifty-two".