2429856 has 144 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 668160.

The previous prime is 2429851. The next prime is 2429893. The reversal of 2429856 is 6589242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2429856.

It is not an unprimeable number, because it can be changed into a prime (2429851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41155 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^2429856 is an apocalyptic number.

2429856 is a gapful number since it is divisible by the number (26) 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 2429856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2429856 is an abundant number, since it is smaller than the sum of its proper divisors (5825664).

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

2429856 is a wasteful number, since it uses less digits than its factorization.

2429856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2429856 is about 1558.7995381062. The cubic root of 2429856 is about 134.4394866970.

The spelling of 2429856 in words is "two million, four hundred twenty-nine thousand, eight hundred fifty-six".