2114014720 has 80 divisors (see below), whose sum is σ = 5133332160. Its totient is φ = 834822144.

The previous prime is 2114014717. The next prime is 2114014741. The reversal of 2114014720 is 274104112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2114014691 and 2114014700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197014 + ... + 207466.

It is an arithmetic number, because the mean of its divisors is an integer number (64166652).

Almost surely, 2^2114014720 is an apocalyptic number.

2114014720 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 2114014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566666080).

2114014720 is an abundant number, since it is smaller than the sum of its proper divisors (3019317440).

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

2114014720 is an equidigital number, since it uses as much as digits as its factorization.

2114014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2114014720 is about 45978.4158056800. The cubic root of 2114014720 is about 1283.4215747873.

Adding to 2114014720 its reverse (274104112), we get a palindrome (2388118832).

The spelling of 2114014720 in words is "two billion, one hundred fourteen million, fourteen thousand, seven hundred twenty".