2100026036160 has 1120 divisors, whose sum is σ = 8374974676992. Its totient is φ = 496001802240.

The previous prime is 2100026036149. The next prime is 2100026036177. The reversal of 2100026036160 is 616306200012.

2100026036160 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 26 + 0 + 3 + 616 + 0 = 666.

It is a super-3 number, since 3×2100026036160³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1326610729 + ... + 1326612311.

Almost surely, 2^{2100026036160} is an apocalyptic number.

2100026036160 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 2100026036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187487338496).

2100026036160 is an abundant number, since it is smaller than the sum of its proper divisors (6274948640832).

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

2100026036160 is a wasteful number, since it uses less digits than its factorization.

2100026036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2100026036160 in words is "two trillion, one hundred billion, twenty-six million, thirty-six thousand, one hundred sixty".