2010671561700 has 360 divisors, whose sum is σ = 6615487909800. Its totient is φ = 528188221440.

The previous prime is 2010671561653. The next prime is 2010671561711. The reversal of 2010671561700 is 71651760102.

2010671561700 is a `hidden beast` number, since 20 + 1 + 0 + 6 + 7 + 1 + 561 + 70 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1438373259684 + 572298302016 = 1199322^2 + 756504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199684266 + ... + 199694334.

It is an arithmetic number, because the mean of its divisors is an integer number (18376355305).

Almost surely, 2^{2010671561700} is an apocalyptic number.

2010671561700 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 2010671561700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307743954900).

2010671561700 is an abundant number, since it is smaller than the sum of its proper divisors (4604816348100).

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

2010671561700 is a wasteful number, since it uses less digits than its factorization.

2010671561700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 2010671561700 in words is "two trillion, ten billion, six hundred seventy-one million, five hundred sixty-one thousand, seven hundred".