2542309506 has 96 divisors (see below), whose sum is σ = 6458107968. Its totient is φ = 714193920.

The previous prime is 2542309501. The next prime is 2542309513. The reversal of 2542309506 is 6059032452.

It is not an unprimeable number, because it can be changed into a prime (2542309501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219886 + ... + 231158.

It is an arithmetic number, because the mean of its divisors is an integer number (67271958).

Almost surely, 2^2542309506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542309506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229053984).

2542309506 is an abundant number, since it is smaller than the sum of its proper divisors (3915798462).

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

2542309506 is a wasteful number, since it uses less digits than its factorization.

2542309506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11373 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2542309506 is about 50421.3199549556. The cubic root of 2542309506 is about 1364.8223960850.

The spelling of 2542309506 in words is "two billion, five hundred forty-two million, three hundred nine thousand, five hundred six".