2542042536 has 96 divisors (see below), whose sum is σ = 7084324800. Its totient is φ = 759404800.

The previous prime is 2542042523. The next prime is 2542042579. The reversal of 2542042536 is 6352402452.

It is a happy number.

2542042536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2542042536² = 12923960509666622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2542042497 and 2542042506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200020 + ... + 212348.

It is an arithmetic number, because the mean of its divisors is an integer number (73795050).

Almost surely, 2^2542042536 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 2542042536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542162400).

2542042536 is an abundant number, since it is smaller than the sum of its proper divisors (4542282264).

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

2542042536 is a wasteful number, since it uses less digits than its factorization.

2542042536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 2542042536 is about 50418.6724934324. The cubic root of 2542042536 is about 1364.7746207074.

Adding to 2542042536 its reverse (6352402452), we get a palindrome (8894444988).

The spelling of 2542042536 in words is "two billion, five hundred forty-two million, forty-two thousand, five hundred thirty-six".