2438332416 has 288 divisors, whose sum is σ = 7927204320. Its totient is φ = 736100352.

The previous prime is 2438332409. The next prime is 2438332427. The reversal of 2438332416 is 6142338342.

2438332416 is a `hidden beast` number, since 243 + 83 + 324 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2438332416³ (a number of 29 digits) contains 333 as substring.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46006246 + ... + 46006298.

It is an arithmetic number, because the mean of its divisors is an integer number (27525015).

Almost surely, 2^2438332416 is an apocalyptic number.

2438332416 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 2438332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963602160).

2438332416 is an abundant number, since it is smaller than the sum of its proper divisors (5488871904).

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

2438332416 is an frugal number, since it uses more digits than its factorization.

2438332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2438332416 is about 49379.4736302444. The cubic root of 2438332416 is about 1345.9563346391.

The spelling of 2438332416 in words is "two billion, four hundred thirty-eight million, three hundred thirty-two thousand, four hundred sixteen".