2038204800 has 576 divisors, whose sum is σ = 8079795360. Its totient is φ = 486604800.

The previous prime is 2038204799. The next prime is 2038204807. The reversal of 2038204800 is 84028302.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038204807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11260710 + ... + 11260890.

Almost surely, 2^2038204800 is an apocalyptic number.

2038204800 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 2038204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039897680).

2038204800 is an abundant number, since it is smaller than the sum of its proper divisors (6041590560).

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

2038204800 is a wasteful number, since it uses less digits than its factorization.

2038204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2038204800 is about 45146.4815904850. The cubic root of 2038204800 is about 1267.8930074551.

The spelling of 2038204800 in words is "two billion, thirty-eight million, two hundred four thousand, eight hundred".