2429840000 has 160 divisors (see below), whose sum is σ = 6914661600. Its totient is φ = 832896000.

The previous prime is 2429839969. The next prime is 2429840003. The reversal of 2429840000 is 489242.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2429840003) 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 19 ways as a sum of consecutive naturals, for example, 557831 + ... + 562169.

It is an arithmetic number, because the mean of its divisors is an integer number (43216635).

Almost surely, 2^2429840000 is an apocalyptic number.

2429840000 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 2429840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457330800).

2429840000 is an abundant number, since it is smaller than the sum of its proper divisors (4484821600).

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

2429840000 is an frugal number, since it uses more digits than its factorization.

2429840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2429840000 is about 49293.4072670981. The cubic root of 2429840000 is about 1344.3919161278.

The spelling of 2429840000 in words is "two billion, four hundred twenty-nine million, eight hundred forty thousand".