2104032000 has 576 divisors, whose sum is σ = 8326176768. Its totient is φ = 460800000.

The previous prime is 2104031977. The next prime is 2104032017. The reversal of 2104032000 is 2304012.

It is a super-3 number, since 3×2104032000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20831950 + ... + 20832050.

It is an arithmetic number, because the mean of its divisors is an integer number (14455168).

Almost surely, 2^2104032000 is an apocalyptic number.

2104032000 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 2104032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163088384).

2104032000 is an abundant number, since it is smaller than the sum of its proper divisors (6222144768).

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

2104032000 is a wasteful number, since it uses less digits than its factorization.

2104032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2104032000 is about 45869.7285799687. The cubic root of 2104032000 is about 1281.3982116866.

Adding to 2104032000 its reverse (2304012), we get a palindrome (2106336012).

The spelling of 2104032000 in words is "two billion, one hundred four million, thirty-two thousand".