2542400526 has 32 divisors (see below), whose sum is σ = 5366275200. Its totient is φ = 800785440.

The previous prime is 2542400521. The next prime is 2542400527. The reversal of 2542400526 is 6250042452.

It is a happy number.

2542400526 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2542400493 and 2542400502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542400521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15681 + ... + 73011.

It is an arithmetic number, because the mean of its divisors is an integer number (167696100).

Almost surely, 2^2542400526 is an apocalyptic number.

2542400526 is an abundant number, since it is smaller than the sum of its proper divisors (2823874674).

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

2542400526 is a wasteful number, since it uses less digits than its factorization.

2542400526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57744.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2542400526 is about 50422.2225412565. Note that the first 3 decimals coincide. The cubic root of 2542400526 is about 1364.8386837232.

Adding to 2542400526 its reverse (6250042452), we get a palindrome (8792442978).

The spelling of 2542400526 in words is "two billion, five hundred forty-two million, four hundred thousand, five hundred twenty-six".