2582696004 has 96 divisors (see below), whose sum is σ = 6997858560. Its totient is φ = 726147072.

The previous prime is 2582695993. The next prime is 2582696041. The reversal of 2582696004 is 4006962852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604352 + ... + 1605960.

It is an arithmetic number, because the mean of its divisors is an integer number (72894360).

Almost surely, 2^2582696004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582696004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498929280).

2582696004 is an abundant number, since it is smaller than the sum of its proper divisors (4415162556).

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

2582696004 is a wasteful number, since it uses less digits than its factorization.

2582696004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2582696004 is about 50820.2322308743. The cubic root of 2582696004 is about 1372.0115377543.

The spelling of 2582696004 in words is "two billion, five hundred eighty-two million, six hundred ninety-six thousand, four".