2038117804800 has 1296 divisors, whose sum is σ = 8818443916800. Its totient is φ = 405017395200.

The previous prime is 2038117804699. The next prime is 2038117804819. The reversal of 2038117804800 is 84087118302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374032476 + ... + 374037924.

Almost surely, 2^{2038117804800} is an apocalyptic number.

2038117804800 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 2038117804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409221958400).

2038117804800 is an abundant number, since it is smaller than the sum of its proper divisors (6780326112000).

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

2038117804800 is a wasteful number, since it uses less digits than its factorization.

2038117804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 2038117804800 in words is "two trillion, thirty-eight billion, one hundred seventeen million, eight hundred four thousand, eight hundred".