2110144000 has 80 divisors (see below), whose sum is σ = 5261935536. Its totient is φ = 844032000.

The previous prime is 2110143979. The next prime is 2110144021. The reversal of 2110144000 is 4410112.

It is an interprime number because it is at equal distance from previous prime (2110143979) and next prime (2110144021).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47515 + ... + 80485.

Almost surely, 2^2110144000 is an apocalyptic number.

2110144000 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 2110144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630967768).

2110144000 is an abundant number, since it is smaller than the sum of its proper divisors (3151791536).

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

2110144000 is an frugal number, since it uses more digits than its factorization.

2110144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33004 (or 32978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2110144000 is about 45936.3037259203. The cubic root of 2110144000 is about 1282.6377895469.

Adding to 2110144000 its reverse (4410112), we get a palindrome (2114554112).

The spelling of 2110144000 in words is "two billion, one hundred ten million, one hundred forty-four thousand".