2546508042 has 48 divisors (see below), whose sum is σ = 5981812200. Its totient is φ = 778271616.

The previous prime is 2546508023. The next prime is 2546508053. The reversal of 2546508042 is 2408056452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1940314401 + 606193641 = 44049^2 + 24621^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2546507988 and 2546508006.

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 23 ways as a sum of consecutive naturals, for example, 1653 + ... + 71384.

Almost surely, 2^2546508042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546508042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990906100).

2546508042 is an abundant number, since it is smaller than the sum of its proper divisors (3435304158).

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

2546508042 is a wasteful number, since it uses less digits than its factorization.

2546508042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73207 (or 73204 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2546508042 is about 50462.9373104658. The cubic root of 2546508042 is about 1365.5733018266.

The spelling of 2546508042 in words is "two billion, five hundred forty-six million, five hundred eight thousand, forty-two".