2913229800 has 672 divisors, whose sum is σ = 11526996600. Its totient is φ = 679311360.

The previous prime is 2913229783. The next prime is 2913229801. The reversal of 2913229800 is 89223192.

It can be written as a sum of positive squares in 12 ways, for example, as 95531076 + 2817698724 = 9774^2 + 53082^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2913229801) 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 167 ways as a sum of consecutive naturals, for example, 54966574 + ... + 54966626.

Almost surely, 2^2913229800 is an apocalyptic number.

2913229800 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 2913229800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763498300).

2913229800 is an abundant number, since it is smaller than the sum of its proper divisors (8613766800).

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

2913229800 is a wasteful number, since it uses less digits than its factorization.

2913229800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2913229800 is about 53974.3439052296. The cubic root of 2913229800 is about 1428.2083941330.

The spelling of 2913229800 in words is "two billion, nine hundred thirteen million, two hundred twenty-nine thousand, eight hundred".