2104201929600 has 1728 divisors, whose sum is σ = 8334442097280. Its totient is φ = 524040192000.

The previous prime is 2104201929461. The next prime is 2104201929607. The reversal of 2104201929600 is 69291024012.

2104201929600 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 20 + 1 + 9 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104201929607) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34495113570 + ... + 34495113630.

It is an arithmetic number, because the mean of its divisors is an integer number (4823172510).

Almost surely, 2^{2104201929600} is an apocalyptic number.

2104201929600 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 2104201929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167221048640).

2104201929600 is an abundant number, since it is smaller than the sum of its proper divisors (6230240167680).

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

2104201929600 is an frugal number, since it uses more digits than its factorization.

2104201929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2104201929600 in words is "two trillion, one hundred four billion, two hundred one million, nine hundred twenty-nine thousand, six hundred".