2038208000 has 80 divisors (see below), whose sum is σ = 5082558624. Its totient is φ = 815257600.

The previous prime is 2038207993. The next prime is 2038208017. The reversal of 2038208000 is 8028302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48077 + ... + 79923.

Almost surely, 2^2038208000 is an apocalyptic number.

2038208000 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 2038208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541279312).

2038208000 is an abundant number, since it is smaller than the sum of its proper divisors (3044350624).

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

2038208000 is an frugal number, since it uses more digits than its factorization.

2038208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31880 (or 31854 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2038208000 is about 45146.5170306636. The cubic root of 2038208000 is about 1267.8936709892.

The spelling of 2038208000 in words is "two billion, thirty-eight million, two hundred eight thousand".