2338542316800 has 540 divisors, whose sum is σ = 8880422716396. Its totient is φ = 606751948800.

The previous prime is 2338542316793. The next prime is 2338542316807. The reversal of 2338542316800 is 86132458332.

2338542316800 is a `hidden beast` number, since 2 + 338 + 5 + 4 + 231 + 6 + 80 + 0 = 666.

2338542316800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2338542316793) and next prime (2338542316807).

It can be written as a sum of positive squares in 6 ways, for example, as 94873856256 + 2243668460544 = 308016^2 + 1497888^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338542316807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19119840 + ... + 19241760.

Almost surely, 2^{2338542316800} is an apocalyptic number.

2338542316800 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 2338542316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440211358198).

2338542316800 is an abundant number, since it is smaller than the sum of its proper divisors (6541880399596).

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

2338542316800 is a wasteful number, since it uses less digits than its factorization.

2338542316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121996 (or 121968 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2338542316800 in words is "two trillion, three hundred thirty-eight billion, five hundred forty-two million, three hundred sixteen thousand, eight hundred".