2429706240 has 448 divisors, whose sum is σ = 9357969600. Its totient is φ = 598081536.

The previous prime is 2429706233. The next prime is 2429706281. The reversal of 2429706240 is 426079242.

2429706240 is a `hidden beast` number, since 2 + 4 + 29 + 7 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2429706195 and 2429706204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186900474 + ... + 186900486.

It is an arithmetic number, because the mean of its divisors is an integer number (20888325).

Almost surely, 2^2429706240 is an apocalyptic number.

2429706240 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 2429706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678984800).

2429706240 is an abundant number, since it is smaller than the sum of its proper divisors (6928263360).

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

2429706240 is an frugal number, since it uses more digits than its factorization.

2429706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2429706240 is about 49292.0504746962. The cubic root of 2429706240 is about 1344.3672465799.

The spelling of 2429706240 in words is "two billion, four hundred twenty-nine million, seven hundred six thousand, two hundred forty".