2429478738 has 96 divisors (see below), whose sum is σ = 6033942720. Its totient is φ = 721975680.

The previous prime is 2429478679. The next prime is 2429478743. The reversal of 2429478738 is 8378749242.

It is a happy number.

2429478738 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327733 + ... + 335063.

It is an arithmetic number, because the mean of its divisors is an integer number (62853570).

Almost surely, 2^2429478738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429478738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016971360).

2429478738 is an abundant number, since it is smaller than the sum of its proper divisors (3604463982).

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

2429478738 is a wasteful number, since it uses less digits than its factorization.

2429478738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7372 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 2429478738 is about 49289.7427260480. The cubic root of 2429478738 is about 1344.3252859814.

The spelling of 2429478738 in words is "two billion, four hundred twenty-nine million, four hundred seventy-eight thousand, seven hundred thirty-eight".