2506327264 has 144 divisors (see below), whose sum is σ = 5957038080. Its totient is φ = 1034315520.

The previous prime is 2506327247. The next prime is 2506327321. The reversal of 2506327264 is 4627236052.

It is a congruent number.

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, 5232177 + ... + 5232655.

It is an arithmetic number, because the mean of its divisors is an integer number (41368320).

Almost surely, 2^2506327264 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 2506327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

2506327264 is an abundant number, since it is smaller than the sum of its proper divisors (3450710816).

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

2506327264 is a wasteful number, since it uses less digits than its factorization.

2506327264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 2506327264 is about 50063.2326563118. The cubic root of 2506327264 is about 1358.3528328247.

The spelling of 2506327264 in words is "two billion, five hundred six million, three hundred twenty-seven thousand, two hundred sixty-four".