2328266438400 has 1728 divisors, whose sum is σ = 9452894976000. Its totient is φ = 503750983680.

The previous prime is 2328266438347. The next prime is 2328266438419. The reversal of 2328266438400 is 48346628232.

It is a happy number.

2328266438400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2328266438400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13941715117 + ... + 13941715283.

Almost surely, 2^{2328266438400} is an apocalyptic number.

2328266438400 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 2328266438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726447488000).

2328266438400 is an abundant number, since it is smaller than the sum of its proper divisors (7124628537600).

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

2328266438400 is a wasteful number, since it uses less digits than its factorization.

2328266438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 2328266438400 in words is "two trillion, three hundred twenty-eight billion, two hundred sixty-six million, four hundred thirty-eight thousand, four hundred".