2575721680 has 160 divisors (see below), whose sum is σ = 7424524800. Its totient is φ = 810762240.

The previous prime is 2575721627. The next prime is 2575721689. The reversal of 2575721680 is 861275752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575721689) 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, 387021 + ... + 393619.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 2^2575721680 is an apocalyptic number.

2575721680 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 2575721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712262400).

2575721680 is an abundant number, since it is smaller than the sum of its proper divisors (4848803120).

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

2575721680 is a wasteful number, since it uses less digits than its factorization.

2575721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 2575721680 is about 50751.5682516314. The cubic root of 2575721680 is about 1370.7754290286.

The spelling of 2575721680 in words is "two billion, five hundred seventy-five million, seven hundred twenty-one thousand, six hundred eighty".