2829125376 has 432 divisors, whose sum is σ = 10468942848. Its totient is φ = 713318400.

The previous prime is 2829125357. The next prime is 2829125381. The reversal of 2829125376 is 6735219282.

2829125376 is a `hidden beast` number, since 28 + 2 + 91 + 2 + 537 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6563881 + ... + 6564311.

It is an arithmetic number, because the mean of its divisors is an integer number (24233664).

Almost surely, 2^2829125376 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 2829125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234471424).

2829125376 is an abundant number, since it is smaller than the sum of its proper divisors (7639817472).

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

2829125376 is a wasteful number, since it uses less digits than its factorization.

2829125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2829125376 is about 53189.5231789118. The cubic root of 2829125376 is about 1414.3299280069.

The spelling of 2829125376 in words is "two billion, eight hundred twenty-nine million, one hundred twenty-five thousand, three hundred seventy-six".