2429042880 has 448 divisors, whose sum is σ = 8964338688. Its totient is φ = 551485440.

The previous prime is 2429042843. The next prime is 2429042881. The reversal of 2429042880 is 882409242.

It is not an unprimeable number, because it can be changed into a prime (2429042881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17730172 + ... + 17730308.

Almost surely, 2^2429042880 is an apocalyptic number.

2429042880 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 2429042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482169344).

2429042880 is an abundant number, since it is smaller than the sum of its proper divisors (6535295808).

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

2429042880 is a wasteful number, since it uses less digits than its factorization.

2429042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2429042880 is about 49285.3211412891. The cubic root of 2429042880 is about 1344.2448887664.

The spelling of 2429042880 in words is "two billion, four hundred twenty-nine million, forty-two thousand, eight hundred eighty".