2426814144 has 84 divisors (see below), whose sum is σ = 6964816144. Its totient is φ = 807916032.

The previous prime is 2426814113. The next prime is 2426814161. The reversal of 2426814144 is 4414186242.

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

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 = 2426814099 and 2426814108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554814 + ... + 559170.

Almost surely, 2^2426814144 is an apocalyptic number.

2426814144 is a gapful number since it is divisible by the number (24) 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 2426814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482408072).

2426814144 is an abundant number, since it is smaller than the sum of its proper divisors (4538002000).

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

2426814144 is a wasteful number, since it uses less digits than its factorization.

2426814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5329 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2426814144 is about 49262.7054068288. The cubic root of 2426814144 is about 1343.8336316177.

The spelling of 2426814144 in words is "two billion, four hundred twenty-six million, eight hundred fourteen thousand, one hundred forty-four".