2506392342 has 64 divisors (see below), whose sum is σ = 5717986560. Its totient is φ = 813359232.

The previous prime is 2506392337. The next prime is 2506392349. The reversal of 2506392342 is 2432936052.

It is a happy number.

2506392342 is a `hidden beast` number, since 250 + 63 + 9 + 2 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2506392297 and 2506392306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506392349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 780913 + ... + 784115.

It is an arithmetic number, because the mean of its divisors is an integer number (89343540).

Almost surely, 2^2506392342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506392342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858993280).

2506392342 is an abundant number, since it is smaller than the sum of its proper divisors (3211594218).

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

2506392342 is a wasteful number, since it uses less digits than its factorization.

2506392342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2506392342 is about 50063.8826101212. The cubic root of 2506392342 is about 1358.3645894857.

The spelling of 2506392342 in words is "two billion, five hundred six million, three hundred ninety-two thousand, three hundred forty-two".