2038060738800 has 540 divisors, whose sum is σ = 7401646755360. Its totient is φ = 519223910400.

The previous prime is 2038060738691. The next prime is 2038060738817. The reversal of 2038060738800 is 88370608302.

2038060738800 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 0 + 607 + 38 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 273304672 + ... + 273312128.

Almost surely, 2^{2038060738800} is an apocalyptic number.

2038060738800 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 2038060738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700823377680).

2038060738800 is an abundant number, since it is smaller than the sum of its proper divisors (5363586016560).

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

2038060738800 is a wasteful number, since it uses less digits than its factorization.

2038060738800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2038060738800 in words is "two trillion, thirty-eight billion, sixty million, seven hundred thirty-eight thousand, eight hundred".