2829574164 has 96 divisors (see below), whose sum is σ = 7187241600. Its totient is φ = 863447040.

The previous prime is 2829574133. The next prime is 2829574169. The reversal of 2829574164 is 4614759282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829574169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1017544 + ... + 1020320.

It is an arithmetic number, because the mean of its divisors is an integer number (74867100).

Almost surely, 2^2829574164 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 2829574164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593620800).

2829574164 is an abundant number, since it is smaller than the sum of its proper divisors (4357667436).

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

2829574164 is a wasteful number, since it uses less digits than its factorization.

2829574164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2951 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2829574164 is about 53193.7417747614. The cubic root of 2829574164 is about 1414.4047097451.

The spelling of 2829574164 in words is "two billion, eight hundred twenty-nine million, five hundred seventy-four thousand, one hundred sixty-four".