2575131648 has 88 divisors (see below), whose sum is σ = 6958293408. Its totient is φ = 846544896.

The previous prime is 2575131631. The next prime is 2575131659. The reversal of 2575131648 is 8461315752.

It is a happy number.

It is a super-3 number, since 3×2575131648³ (a number of 29 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 218515 + ... + 229997.

It is an arithmetic number, because the mean of its divisors is an integer number (79071516).

Almost surely, 2^2575131648 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 2575131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479146704).

2575131648 is an abundant number, since it is smaller than the sum of its proper divisors (4383161760).

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

2575131648 is a wasteful number, since it uses less digits than its factorization.

2575131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579 (or 11561 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 2575131648 is about 50745.7549751701. The cubic root of 2575131648 is about 1370.6707511641.

The spelling of 2575131648 in words is "two billion, five hundred seventy-five million, one hundred thirty-one thousand, six hundred forty-eight".