2110643910144 has 2240 divisors, whose sum is σ = 8573567827968. Its totient is φ = 502541107200.

The previous prime is 2110643910107. The next prime is 2110643910161. The reversal of 2110643910144 is 4410193460112.

2110643910144 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 643 + 9 + 1 + 0 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×2110643910144² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2110643910099 and 2110643910108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20491688397 + ... + 20491688499.

Almost surely, 2^{2110643910144} is an apocalyptic number.

2110643910144 is a gapful number since it is divisible by the number (24) 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 2110643910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286783913984).

2110643910144 is an abundant number, since it is smaller than the sum of its proper divisors (6462923917824).

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

2110643910144 is a wasteful number, since it uses less digits than its factorization.

2110643910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2110643910144 in words is "two trillion, one hundred ten billion, six hundred forty-three million, nine hundred ten thousand, one hundred forty-four".