2829576064 has 128 divisors (see below), whose sum is σ = 6879859200. Its totient is φ = 1132185600.

The previous prime is 2829576059. The next prime is 2829576089. The reversal of 2829576064 is 4606759282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2829575999 and 2829576017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207534 + ... + 1209874.

It is an arithmetic number, because the mean of its divisors is an integer number (53748900).

Almost surely, 2^2829576064 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 2829576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439929600).

2829576064 is an abundant number, since it is smaller than the sum of its proper divisors (4050283136).

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

2829576064 is a wasteful number, since it uses less digits than its factorization.

2829576064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 2829576064 is about 53193.7596340022. The cubic root of 2829576064 is about 1414.4050263261.

The spelling of 2829576064 in words is "two billion, eight hundred twenty-nine million, five hundred seventy-six thousand, sixty-four".