2506729566 has 64 divisors (see below), whose sum is σ = 5779537920. Its totient is φ = 717356640.

The previous prime is 2506729559. The next prime is 2506729609. The reversal of 2506729566 is 6659276052.

2506729566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109471 + ... + 130373.

It is an arithmetic number, because the mean of its divisors is an integer number (90305280).

Almost surely, 2^2506729566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506729566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889768960).

2506729566 is an abundant number, since it is smaller than the sum of its proper divisors (3272808354).

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

2506729566 is a wasteful number, since it uses less digits than its factorization.

2506729566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 2506729566 is about 50067.2504337915. The cubic root of 2506729566 is about 1358.4255074022.

The spelling of 2506729566 in words is "two billion, five hundred six million, seven hundred twenty-nine thousand, five hundred sixty-six".