2238578496 has 336 divisors, whose sum is σ = 8473196160. Its totient is φ = 547061760.

The previous prime is 2238578483. The next prime is 2238578521. The reversal of 2238578496 is 6948758322.

2238578496 is a `hidden beast` number, since 2 + 2 + 3 + 85 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2238578496³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752500 + ... + 755468.

Almost surely, 2^2238578496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236598080).

2238578496 is an abundant number, since it is smaller than the sum of its proper divisors (6234617664).

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

2238578496 is a wasteful number, since it uses less digits than its factorization.

2238578496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3009 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2238578496 is about 47313.6185046124. The cubic root of 2238578496 is about 1308.1496896834.

The spelling of 2238578496 in words is "two billion, two hundred thirty-eight million, five hundred seventy-eight thousand, four hundred ninety-six".