2085662947200 has 768 divisors, whose sum is σ = 8013772800000. Its totient is φ = 466939699200.

The previous prime is 2085662947183. The next prime is 2085662947201. The reversal of 2085662947200 is 27492665802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085662947201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695451301 + ... + 695454299.

It is an arithmetic number, because the mean of its divisors is an integer number (10434600000).

Almost surely, 2^{2085662947200} is an apocalyptic number.

2085662947200 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 2085662947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006886400000).

2085662947200 is an abundant number, since it is smaller than the sum of its proper divisors (5928109852800).

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

2085662947200 is a wasteful number, since it uses less digits than its factorization.

2085662947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3226 counting only the distinct ones).

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

The spelling of 2085662947200 in words is "two trillion, eighty-five billion, six hundred sixty-two million, nine hundred forty-seven thousand, two hundred".