2542785936 has 80 divisors (see below), whose sum is σ = 6686030400. Its totient is φ = 832610304.

The previous prime is 2542785919. The next prime is 2542785937. The reversal of 2542785936 is 6395872452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2542785937) 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 15 ways as a sum of consecutive naturals, for example, 645220 + ... + 649148.

It is an arithmetic number, because the mean of its divisors is an integer number (83575380).

Almost surely, 2^2542785936 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 2542785936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343015200).

2542785936 is an abundant number, since it is smaller than the sum of its proper divisors (4143244464).

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

2542785936 is a wasteful number, since it uses less digits than its factorization.

2542785936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4170 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 2542785936 is about 50426.0442231988. The cubic root of 2542785936 is about 1364.9076468800.

The spelling of 2542785936 in words is "two billion, five hundred forty-two million, seven hundred eighty-five thousand, nine hundred thirty-six".