2140110720 has 512 divisors, whose sum is σ = 8430912000. Its totient is φ = 515082240.

The previous prime is 2140110683. The next prime is 2140110781. The reversal of 2140110720 is 270110412.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2140110693 and 2140110702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396411 + ... + 15396549.

It is an arithmetic number, because the mean of its divisors is an integer number (16466625).

Almost surely, 2^2140110720 is an apocalyptic number.

2140110720 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 2140110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215456000).

2140110720 is an abundant number, since it is smaller than the sum of its proper divisors (6290801280).

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

2140110720 is an equidigital number, since it uses as much as digits as its factorization.

2140110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2140110720 is about 46261.3307201598. The cubic root of 2140110720 is about 1288.6809665040.

The spelling of 2140110720 in words is "two billion, one hundred forty million, one hundred ten thousand, seven hundred twenty".