2575660032 has 264 divisors, whose sum is σ = 8422700832. Its totient is φ = 779673600.

The previous prime is 2575660013. The next prime is 2575660049. The reversal of 2575660032 is 2300665752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736682 + ... + 2737622.

Almost surely, 2^2575660032 is an apocalyptic number.

2575660032 is a gapful number since it is divisible by the number (22) 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 2575660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211350416).

2575660032 is an abundant number, since it is smaller than the sum of its proper divisors (5847040800).

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

2575660032 is an equidigital number, since it uses as much as digits as its factorization.

2575660032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2575660032 is about 50750.9608973072. The cubic root of 2575660032 is about 1370.7644927748.

The spelling of 2575660032 in words is "two billion, five hundred seventy-five million, six hundred sixty thousand, thirty-two".