2011104000 has 216 divisors, whose sum is σ = 7237575072. Its totient is φ = 536217600.

The previous prime is 2011103989. The next prime is 2011104047. The reversal of 2011104000 is 4011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284509 + ... + 291491.

It is an arithmetic number, because the mean of its divisors is an integer number (33507292).

Almost surely, 2^2011104000 is an apocalyptic number.

2011104000 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 2011104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618787536).

2011104000 is an abundant number, since it is smaller than the sum of its proper divisors (5226471072).

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

2011104000 is an equidigital number, since it uses as much as digits as its factorization.

2011104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011104000 is about 44845.3342054667. The cubic root of 2011104000 is about 1262.2484418573.

Adding to 2011104000 its reverse (4011102), we get a palindrome (2015115102).

The spelling of 2011104000 in words is "two billion, eleven million, one hundred four thousand".