2569728700 has 144 divisors (see below), whose sum is σ = 7067547648. Its totient is φ = 787680000.

The previous prime is 2569728697. The next prime is 2569728731. The reversal of 2569728700 is 78279652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466965 + ... + 472435.

It is an arithmetic number, because the mean of its divisors is an integer number (49080192).

Almost surely, 2^2569728700 is an apocalyptic number.

2569728700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533773824).

2569728700 is an abundant number, since it is smaller than the sum of its proper divisors (4497818948).

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

2569728700 is a wasteful number, since it uses less digits than its factorization.

2569728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 2569728700 is about 50692.4915544699. The cubic root of 2569728700 is about 1369.7114671109.

The spelling of 2569728700 in words is "two billion, five hundred sixty-nine million, seven hundred twenty-eight thousand, seven hundred".