2110005144000 has 672 divisors, whose sum is σ = 8182821978240. Its totient is φ = 515911680000.

The previous prime is 2110005143989. The next prime is 2110005144007. The reversal of 2110005144000 is 4415000112.

2110005144000 is a `hidden beast` number, since 2 + 110 + 0 + 0 + 514 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110005144007) 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, 141328536 + ... + 141343464.

It is an arithmetic number, because the mean of its divisors is an integer number (12176818420).

Almost surely, 2^{2110005144000} is an apocalyptic number.

2110005144000 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 2110005144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091410989120).

2110005144000 is an abundant number, since it is smaller than the sum of its proper divisors (6072816834240).

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

2110005144000 is a wasteful number, since it uses less digits than its factorization.

2110005144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15126 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 2110005144000 in words is "two trillion, one hundred ten billion, five million, one hundred forty-four thousand".