2829575952 has 90 divisors (see below), whose sum is σ = 9211784478. Its totient is φ = 808448256.

The previous prime is 2829575941. The next prime is 2829575963. The reversal of 2829575952 is 2595759282.

It is a happy number.

2829575952 is a `hidden beast` number, since 28 + 29 + 5 + 7 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2829575941) and next prime (2829575963).

It can be written as a sum of positive squares in only one way, i.e., 2721082896 + 108493056 = 52164^2 + 10416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193453 + ... + 207564.

Almost surely, 2^2829575952 is an apocalyptic number.

It is an amenable number.

2829575952 is an abundant number, since it is smaller than the sum of its proper divisors (6382208526).

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

2829575952 is a wasteful number, since it uses less digits than its factorization.

2829575952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401045 (or 401029 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 2829575952 is about 53193.7585812471. The cubic root of 2829575952 is about 1414.4050076645.

The spelling of 2829575952 in words is "two billion, eight hundred twenty-nine million, five hundred seventy-five thousand, nine hundred fifty-two".