2104656000 has 256 divisors, whose sum is σ = 7045833600. Its totient is φ = 555724800.

The previous prime is 2104655951. The next prime is 2104656007. The reversal of 2104656000 is 6564012.

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

It is not an unprimeable number, because it can be changed into a prime (2104656007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7823866 + ... + 7824134.

Almost surely, 2^2104656000 is an apocalyptic number.

2104656000 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 2104656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522916800).

2104656000 is an abundant number, since it is smaller than the sum of its proper divisors (4941177600).

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

2104656000 is a wasteful number, since it uses less digits than its factorization.

2104656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2104656000 is about 45876.5299472399. The cubic root of 2104656000 is about 1281.5248753893.

The spelling of 2104656000 in words is "two billion, one hundred four million, six hundred fifty-six thousand".