2038281000 has 384 divisors, whose sum is σ = 7584295680. Its totient is φ = 446400000.

The previous prime is 2038280987. The next prime is 2038281013. The reversal of 2038281000 is 1828302.

It is an interprime number because it is at equal distance from previous prime (2038280987) and next prime (2038281013).

It is a super-2 number, since 2×2038281000² = 8309178869922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20180950 + ... + 20181050.

It is an arithmetic number, because the mean of its divisors is an integer number (19750770).

Almost surely, 2^2038281000 is an apocalyptic number.

2038281000 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 2038281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792147840).

2038281000 is an abundant number, since it is smaller than the sum of its proper divisors (5546014680).

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

2038281000 is a wasteful number, since it uses less digits than its factorization.

2038281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2038281000 is about 45147.3255021823. The cubic root of 2038281000 is about 1267.9088076735.

The spelling of 2038281000 in words is "two billion, thirty-eight million, two hundred eighty-one thousand".