2429392896 has 288 divisors, whose sum is σ = 8449459200. Its totient is φ = 656916480.

The previous prime is 2429392873. The next prime is 2429392937. The reversal of 2429392896 is 6982939242.

2429392896 is a `hidden beast` number, since 242 + 9 + 392 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450961 + ... + 2451951.

It is an arithmetic number, because the mean of its divisors is an integer number (29338400).

Almost surely, 2^2429392896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224729600).

2429392896 is an abundant number, since it is smaller than the sum of its proper divisors (6020066304).

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

2429392896 is a wasteful number, since it uses less digits than its factorization.

2429392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1022 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 2429392896 is about 49288.8719286615. The cubic root of 2429392896 is about 1344.3094525534.

The spelling of 2429392896 in words is "two billion, four hundred twenty-nine million, three hundred ninety-two thousand, eight hundred ninety-six".