2114325760 has 72 divisors (see below), whose sum is σ = 5080055400. Its totient is φ = 843128832.

The previous prime is 2114325727. The next prime is 2114325799. The reversal of 2114325760 is 675234112.

It can be written as a sum of positive squares in 4 ways, for example, as 148644864 + 1965680896 = 12192^2 + 44336^2 .

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, 444354 + ... + 449086.

It is an arithmetic number, because the mean of its divisors is an integer number (70556325).

Almost surely, 2^2114325760 is an apocalyptic number.

2114325760 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 2114325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540027700).

2114325760 is an abundant number, since it is smaller than the sum of its proper divisors (2965729640).

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

2114325760 is an equidigital number, since it uses as much as digits as its factorization.

2114325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2114325760 is about 45981.7981379589. The cubic root of 2114325760 is about 1283.4845159874.

Adding to 2114325760 its reverse (675234112), we get a palindrome (2789559872).

The spelling of 2114325760 in words is "two billion, one hundred fourteen million, three hundred twenty-five thousand, seven hundred sixty".