2438219520 has 432 divisors, whose sum is σ = 9366948864. Its totient is φ = 580608000.

The previous prime is 2438219507. The next prime is 2438219527. The reversal of 2438219520 is 259128342.

It is a happy number.

2438219520 is a `hidden beast` number, since 2 + 43 + 82 + 19 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2438219527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8996985 + ... + 8997255.

It is an arithmetic number, because the mean of its divisors is an integer number (21682752).

Almost surely, 2^2438219520 is an apocalyptic number.

2438219520 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 2438219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683474432).

2438219520 is an abundant number, since it is smaller than the sum of its proper divisors (6928729344).

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

2438219520 is a wasteful number, since it uses less digits than its factorization.

2438219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

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

The square root of 2438219520 is about 49378.3304699541. The cubic root of 2438219520 is about 1345.9355615032.

The spelling of 2438219520 in words is "two billion, four hundred thirty-eight million, two hundred nineteen thousand, five hundred twenty".