2238460012800 has 2592 divisors, whose sum is σ = 9864223649280. Its totient is φ = 496071475200.

The previous prime is 2238460012753. The next prime is 2238460012847. The reversal of 2238460012800 is 82100648322.

2238460012800 is a `hidden beast` number, since 2 + 2 + 38 + 4 + 600 + 12 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2238460012753) and next prime (2238460012847).

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12505363111 + ... + 12505363289.

It is an arithmetic number, because the mean of its divisors is an integer number (3805641840).

Almost surely, 2^{2238460012800} is an apocalyptic number.

2238460012800 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 2238460012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932111824640).

2238460012800 is an abundant number, since it is smaller than the sum of its proper divisors (7625763636480).

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

2238460012800 is a wasteful number, since it uses less digits than its factorization.

2238460012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2238460012800 in words is "two trillion, two hundred thirty-eight billion, four hundred sixty million, twelve thousand, eight hundred".