2429011200 has 864 divisors, whose sum is σ = 10511327232. Its totient is φ = 479232000.

The previous prime is 2429011181. The next prime is 2429011201. The reversal of 2429011200 is 21109242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45830374 + ... + 45830426.

It is an arithmetic number, because the mean of its divisors is an integer number (12165888).

Almost surely, 2^2429011200 is an apocalyptic number.

2429011200 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 2429011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255663616).

2429011200 is an abundant number, since it is smaller than the sum of its proper divisors (8082316032).

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

2429011200 is a wasteful number, since it uses less digits than its factorization.

2429011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2429011200 is about 49284.9997463731. Note that the first 3 decimals coincide. The cubic root of 2429011200 is about 1344.2390447824.

The spelling of 2429011200 in words is "two billion, four hundred twenty-nine million, eleven thousand, two hundred".