2582461002 has 16 divisors (see below), whose sum is σ = 5634460512. Its totient is φ = 782563920.

The previous prime is 2582461001. The next prime is 2582461031. The reversal of 2582461002 is 2001642852.

It is a super-3 number, since 3×2582461002³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2582461001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19564033 + ... + 19564164.

It is an arithmetic number, because the mean of its divisors is an integer number (352153782).

Almost surely, 2^2582461002 is an apocalyptic number.

2582461002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2582461002 is an abundant number, since it is smaller than the sum of its proper divisors (3051999510).

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

2582461002 is a wasteful number, since it uses less digits than its factorization.

2582461002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39128213.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2582461002 is about 50817.9200873078. The cubic root of 2582461002 is about 1371.9699229411.

The spelling of 2582461002 in words is "two billion, five hundred eighty-two million, four hundred sixty-one thousand, two".