2575971960 has 128 divisors (see below), whose sum is σ = 7861708800. Its totient is φ = 675118080.

The previous prime is 2575971953. The next prime is 2575971961. The reversal of 2575971960 is 691795752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575971961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2663397 + ... + 2664363.

It is an arithmetic number, because the mean of its divisors is an integer number (61419600).

Almost surely, 2^2575971960 is an apocalyptic number.

2575971960 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 2575971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930854400).

2575971960 is an abundant number, since it is smaller than the sum of its proper divisors (5285736840).

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

2575971960 is a wasteful number, since it uses less digits than its factorization.

2575971960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 51.

The square root of 2575971960 is about 50754.0339283490. The cubic root of 2575971960 is about 1370.8198264966.

The spelling of 2575971960 in words is "two billion, five hundred seventy-five million, nine hundred seventy-one thousand, nine hundred sixty".