2526384042 has 216 divisors, whose sum is σ = 7307916876. Its totient is φ = 626476032.

The previous prime is 2526384037. The next prime is 2526384061. The reversal of 2526384042 is 2404836252.

It can be written as a sum of positive squares in 6 ways, for example, as 1158789681 + 1367594361 = 34041^2 + 36981^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2526383988 and 2526384006.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2533488 + ... + 2534484.

Almost surely, 2^2526384042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2526384042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653958438).

2526384042 is an abundant number, since it is smaller than the sum of its proper divisors (4781532834).

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

2526384042 is a wasteful number, since it uses less digits than its factorization.

2526384042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2526384042 is about 50263.1479515559. The cubic root of 2526384042 is about 1361.9665972777.

The spelling of 2526384042 in words is "two billion, five hundred twenty-six million, three hundred eighty-four thousand, forty-two".