2424838680 has 192 divisors, whose sum is σ = 8915961600. Its totient is φ = 587813760.

The previous prime is 2424838667. The next prime is 2424838723. The reversal of 2424838680 is 868384242.

2424838680 is a `hidden beast` number, since 24 + 248 + 386 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95581 + ... + 118259.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^2424838680 is an apocalyptic number.

2424838680 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 2424838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

2424838680 is an abundant number, since it is smaller than the sum of its proper divisors (6491122920).

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

2424838680 is a wasteful number, since it uses less digits than its factorization.

2424838680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22716 (or 22700 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2424838680 is about 49242.6510253053. The cubic root of 2424838680 is about 1343.4688988926.

The spelling of 2424838680 in words is "two billion, four hundred twenty-four million, eight hundred thirty-eight thousand, six hundred eighty".