2046229785600 has 2112 divisors, whose sum is σ = 9306431016960. Its totient is φ = 382736793600.

The previous prime is 2046229785577. The next prime is 2046229785617. The reversal of 2046229785600 is 65879226402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3305702091 + ... + 3305702709.

It is an arithmetic number, because the mean of its divisors is an integer number (4406454080).

Almost surely, 2^{2046229785600} is an apocalyptic number.

2046229785600 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 2046229785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653215508480).

2046229785600 is an abundant number, since it is smaller than the sum of its proper divisors (7260201231360).

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

2046229785600 is a wasteful number, since it uses less digits than its factorization.

2046229785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 2046229785600 in words is "two trillion, forty-six billion, two hundred twenty-nine million, seven hundred eighty-five thousand, six hundred".