2038305447200 has 288 divisors, whose sum is σ = 5464573994880. Its totient is φ = 736277299200.

The previous prime is 2038305447091. The next prime is 2038305447247. The reversal of 2038305447200 is 27445038302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992841374 + ... + 992843426.

It is an arithmetic number, because the mean of its divisors is an integer number (18974215260).

Almost surely, 2^{2038305447200} is an apocalyptic number.

2038305447200 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 2038305447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732286997440).

2038305447200 is an abundant number, since it is smaller than the sum of its proper divisors (3426268547680).

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

2038305447200 is a wasteful number, since it uses less digits than its factorization.

2038305447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 2038305447200 in words is "two trillion, thirty-eight billion, three hundred five million, four hundred forty-seven thousand, two hundred".