2899434384 has 480 divisors, whose sum is σ = 10696458240. Its totient is φ = 711244800.

The previous prime is 2899434361. The next prime is 2899434389. The reversal of 2899434384 is 4834349982.

2899434384 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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2899434384.

It is not an unprimeable number, because it can be changed into a prime (2899434389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22830129 + ... + 22830255.

It is an arithmetic number, because the mean of its divisors is an integer number (22284288).

Almost surely, 2^2899434384 is an apocalyptic number.

2899434384 is a gapful number since it is divisible by the number (24) 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 2899434384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348229120).

2899434384 is an abundant number, since it is smaller than the sum of its proper divisors (7797023856).

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

2899434384 is a wasteful number, since it uses less digits than its factorization.

2899434384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2899434384 is about 53846.3962025315. The cubic root of 2899434384 is about 1425.9504292958.

The spelling of 2899434384 in words is "two billion, eight hundred ninety-nine million, four hundred thirty-four thousand, three hundred eighty-four".