2429844480 has 704 divisors, whose sum is σ = 10312949760. Its totient is φ = 537477120.

The previous prime is 2429844479. The next prime is 2429844481. The reversal of 2429844480 is 844489242.

2429844480 is a `hidden beast` number, since 2 + 42 + 98 + 44 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2429844479) and next prime (2429844481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429844481) 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 63 ways as a sum of consecutive naturals, for example, 78382065 + ... + 78382095.

Almost surely, 2^2429844480 is an apocalyptic number.

2429844480 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 2429844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156474880).

2429844480 is an abundant number, since it is smaller than the sum of its proper divisors (7883105280).

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

2429844480 is an frugal number, since it uses more digits than its factorization.

2429844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2429844480 is about 49293.4527092595. The cubic root of 2429844480 is about 1344.3927423649.

The spelling of 2429844480 in words is "two billion, four hundred twenty-nine million, eight hundred forty-four thousand, four hundred eighty".