2238398400 has 504 divisors, whose sum is σ = 8847100416. Its totient is φ = 493516800.

The previous prime is 2238398329. The next prime is 2238398429. The reversal of 2238398400 is 48938322.

2238398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7291047 + ... + 7291353.

Almost surely, 2^2238398400 is an apocalyptic number.

2238398400 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 2238398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423550208).

2238398400 is an abundant number, since it is smaller than the sum of its proper divisors (6608702016).

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

2238398400 is a wasteful number, since it uses less digits than its factorization.

2238398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2238398400 is about 47311.7152510877. The cubic root of 2238398400 is about 1308.1146080687.

The spelling of 2238398400 in words is "two billion, two hundred thirty-eight million, three hundred ninety-eight thousand, four hundred".