2829940344 has 96 divisors (see below), whose sum is σ = 9555661440. Its totient is φ = 735048000.

The previous prime is 2829940327. The next prime is 2829940349. The reversal of 2829940344 is 4430499282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2829940344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829940349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249682 + ... + 260769.

It is an arithmetic number, because the mean of its divisors is an integer number (99538140).

Almost surely, 2^2829940344 is an apocalyptic number.

2829940344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2829940344 is an abundant number, since it is smaller than the sum of its proper divisors (6725721096).

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

2829940344 is a wasteful number, since it uses less digits than its factorization.

2829940344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510481 (or 510474 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2829940344 is about 53197.1836096611. The cubic root of 2829940344 is about 1414.4657206189.

The spelling of 2829940344 in words is "two billion, eight hundred twenty-nine million, nine hundred forty thousand, three hundred forty-four".