2038532200 has 48 divisors (see below), whose sum is σ = 4760945280. Its totient is φ = 811738560.

The previous prime is 2038532183. The next prime is 2038532213. The reversal of 2038532200 is 22358302.

It is a super-2 number, since 2×2038532200² = 8311227060873680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21747 + ... + 67453.

It is an arithmetic number, because the mean of its divisors is an integer number (99186360).

Almost surely, 2^2038532200 is an apocalyptic number.

2038532200 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 2038532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380472640).

2038532200 is an abundant number, since it is smaller than the sum of its proper divisors (2722413080).

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

2038532200 is a wasteful number, since it uses less digits than its factorization.

2038532200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45946 (or 45937 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2038532200 is about 45150.1074195843. The cubic root of 2038532200 is about 1267.9608916942.

The spelling of 2038532200 in words is "two billion, thirty-eight million, five hundred thirty-two thousand, two hundred".