2506209728 has 56 divisors (see below), whose sum is σ = 5527822320. Its totient is φ = 1117675520.

The previous prime is 2506209709. The next prime is 2506209731. The reversal of 2506209728 is 8279026052.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3728 + ... + 70896.

Almost surely, 2^2506209728 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 2506209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763911160).

2506209728 is an abundant number, since it is smaller than the sum of its proper divisors (3021612592).

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

2506209728 is a wasteful number, since it uses less digits than its factorization.

2506209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67245 (or 67235 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 2506209728 is about 50062.0587670943. The cubic root of 2506209728 is about 1358.3315988519.

The spelling of 2506209728 in words is "two billion, five hundred six million, two hundred nine thousand, seven hundred twenty-eight".