2281104000 has 768 divisors, whose sum is σ = 9796700160. Its totient is φ = 497664000.

The previous prime is 2281103971. The next prime is 2281104029. The reversal of 2281104000 is 4011822.

It is an interprime number because it is at equal distance from previous prime (2281103971) and next prime (2281104029).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31247964 + ... + 31248036.

It is an arithmetic number, because the mean of its divisors is an integer number (12756120).

Almost surely, 2^2281104000 is an apocalyptic number.

2281104000 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 2281104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898350080).

2281104000 is an abundant number, since it is smaller than the sum of its proper divisors (7515596160).

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

2281104000 is a wasteful number, since it uses less digits than its factorization.

2281104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2281104000 is about 47760.9045140479. The cubic root of 2281104000 is about 1316.3812730441.

Adding to 2281104000 its reverse (4011822), we get a palindrome (2285115822).

The spelling of 2281104000 in words is "two billion, two hundred eighty-one million, one hundred four thousand".