2010786636800 has 132 divisors (see below), whose sum is σ = 5090368243200. Its totient is φ = 787201105920.

The previous prime is 2010786636779. The next prime is 2010786636851. The reversal of 2010786636800 is 86366870102.

It is a super-2 number, since 2×2010786636800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367601 + ... + 2038799.

Almost surely, 2^{2010786636800} is an apocalyptic number.

2010786636800 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 2010786636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545184121600).

2010786636800 is an abundant number, since it is smaller than the sum of its proper divisors (3079581606400).

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

2010786636800 is a wasteful number, since it uses less digits than its factorization.

2010786636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671276 (or 1671253 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 2010786636800 in words is "two trillion, ten billion, seven hundred eighty-six million, six hundred thirty-six thousand, eight hundred".