2825831904 has 192 divisors, whose sum is σ = 8685895680. Its totient is φ = 787760640.

The previous prime is 2825831873. The next prime is 2825831927. The reversal of 2825831904 is 4091385282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10427289 + ... + 10427559.

It is an arithmetic number, because the mean of its divisors is an integer number (45239040).

Almost surely, 2^2825831904 is an apocalyptic number.

2825831904 is a gapful number since it is divisible by the number (24) 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 2825831904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342947840).

2825831904 is an abundant number, since it is smaller than the sum of its proper divisors (5860063776).

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

2825831904 is a wasteful number, since it uses less digits than its factorization.

2825831904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2825831904 is about 53158.5543821500. The cubic root of 2825831904 is about 1413.7808932233.

The spelling of 2825831904 in words is "two billion, eight hundred twenty-five million, eight hundred thirty-one thousand, nine hundred four".