2428416144 has 240 divisors, whose sum is σ = 8919905280. Its totient is φ = 597507840.

The previous prime is 2428416113. The next prime is 2428416157. The reversal of 2428416144 is 4416148242.

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 = 2428416099 and 2428416108.

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 47 ways as a sum of consecutive naturals, for example, 204909 + ... + 216435.

It is an arithmetic number, because the mean of its divisors is an integer number (37166272).

Almost surely, 2^2428416144 is an apocalyptic number.

2428416144 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 2428416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459952640).

2428416144 is an abundant number, since it is smaller than the sum of its proper divisors (6491489136).

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

2428416144 is a wasteful number, since it uses less digits than its factorization.

2428416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11569 counting only the distinct ones).

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

The square root of 2428416144 is about 49278.9624890784. The cubic root of 2428416144 is about 1344.1292658406.

The spelling of 2428416144 in words is "two billion, four hundred twenty-eight million, four hundred sixteen thousand, one hundred forty-four".