2429486136 has 640 divisors, whose sum is σ = 9283507200. Its totient is φ = 574801920.

The previous prime is 2429486117. The next prime is 2429486173. The reversal of 2429486136 is 6316849242.

2429486136 is a `hidden beast` number, since 2 + 4 + 29 + 4 + 8 + 613 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2429486091 and 2429486100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33280596 + ... + 33280668.

It is an arithmetic number, because the mean of its divisors is an integer number (14505480).

Almost surely, 2^2429486136 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 2429486136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641753600).

2429486136 is an abundant number, since it is smaller than the sum of its proper divisors (6854021064).

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

2429486136 is a wasteful number, since it uses less digits than its factorization.

2429486136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2429486136 is about 49289.8177720308. The cubic root of 2429486136 is about 1344.3266505140.

The spelling of 2429486136 in words is "two billion, four hundred twenty-nine million, four hundred eighty-six thousand, one hundred thirty-six".