2829612240 has 480 divisors, whose sum is σ = 12316711680. Its totient is φ = 565346304.

The previous prime is 2829612199. The next prime is 2829612287. The reversal of 2829612240 is 422169282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2829612195 and 2829612204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1243744 + ... + 1246016.

It is an arithmetic number, because the mean of its divisors is an integer number (25659816).

Almost surely, 2^2829612240 is an apocalyptic number.

2829612240 is a gapful number since it is divisible by the number (20) 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 2829612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158355840).

2829612240 is an abundant number, since it is smaller than the sum of its proper divisors (9487099440).

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

2829612240 is a wasteful number, since it uses less digits than its factorization.

2829612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2829612240 is about 53194.0996728021. The cubic root of 2829612240 is about 1414.4110540015.

The spelling of 2829612240 in words is "two billion, eight hundred twenty-nine million, six hundred twelve thousand, two hundred forty".