2381369650800 has 240 divisors, whose sum is σ = 8746488022272. Its totient is φ = 542539468800.

The previous prime is 2381369650799. The next prime is 2381369650817. The reversal of 2381369650800 is 80569631832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117080 + ... + 3040520.

Almost surely, 2^{2381369650800} is an apocalyptic number.

2381369650800 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 2381369650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373244011136).

2381369650800 is an abundant number, since it is smaller than the sum of its proper divisors (6365118371472).

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

2381369650800 is a wasteful number, since it uses less digits than its factorization.

2381369650800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923776 (or 923765 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2381369650800 in words is "two trillion, three hundred eighty-one billion, three hundred sixty-nine million, six hundred fifty thousand, eight hundred".