2038561200 has 360 divisors, whose sum is σ = 7803427632. Its totient is φ = 489646080.

The previous prime is 2038561193. The next prime is 2038561223. The reversal of 2038561200 is 21658302.

2038561200 is a `hidden beast` number, since 20 + 385 + 61 + 200 = 666.

2038561200 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2038561200² = 8311463532290880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2011894 + ... + 2012906.

Almost surely, 2^2038561200 is an apocalyptic number.

2038561200 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 2038561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901713816).

2038561200 is an abundant number, since it is smaller than the sum of its proper divisors (5764866432).

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

2038561200 is a wasteful number, since it uses less digits than its factorization.

2038561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2038561200 is about 45150.4285693946. The cubic root of 2038561200 is about 1267.9669043033.

The spelling of 2038561200 in words is "two billion, thirty-eight million, five hundred sixty-one thousand, two hundred".