2038906630800 has 1200 divisors, whose sum is σ = 8270425658880. Its totient is φ = 477550080000.

The previous prime is 2038906630727. The next prime is 2038906630801. The reversal of 2038906630800 is 80366098302.

2038906630800 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 9 + 0 + 6 + 630 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (2038906630801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 867249625 + ... + 867251975.

Almost surely, 2^{2038906630800} is an apocalyptic number.

2038906630800 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 2038906630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135212829440).

2038906630800 is an abundant number, since it is smaller than the sum of its proper divisors (6231519028080).

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

2038906630800 is a wasteful number, since it uses less digits than its factorization.

2038906630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2038906630800 in words is "two trillion, thirty-eight billion, nine hundred six million, six hundred thirty thousand, eight hundred".