2429924778 has 64 divisors (see below), whose sum is σ = 5614439040. Its totient is φ = 778377600.

The previous prime is 2429924773. The next prime is 2429924779. The reversal of 2429924778 is 8774299242.

It is a happy number.

2429924778 is a `hidden beast` number, since 242 + 99 + 247 + 78 = 666.

2429924778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2429924773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140148 + ... + 156528.

It is an arithmetic number, because the mean of its divisors is an integer number (87725610).

Almost surely, 2^2429924778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429924778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807219520).

2429924778 is an abundant number, since it is smaller than the sum of its proper divisors (3184514262).

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

2429924778 is a wasteful number, since it uses less digits than its factorization.

2429924778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 16494 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2429924778 is about 49294.2671920377. The cubic root of 2429924778 is about 1344.4075513866.

The spelling of 2429924778 in words is "two billion, four hundred twenty-nine million, nine hundred twenty-four thousand, seven hundred seventy-eight".