2114261120 has 32 divisors (see below), whose sum is σ = 5054407020. Its totient is φ = 845704192.

The previous prime is 2114261077. The next prime is 2114261137. The reversal of 2114261120 is 211624112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2102039104 + 12222016 = 45848^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2114261092 and 2114261101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1651127 + ... + 1652406.

Almost surely, 2^2114261120 is an apocalyptic number.

2114261120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114261120 is an abundant number, since it is smaller than the sum of its proper divisors (2940145900).

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

2114261120 is an equidigital number, since it uses as much as digits as its factorization.

2114261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303552 (or 3303540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2114261120 is about 45981.0952457638. The cubic root of 2114261120 is about 1283.4714361227.

Adding to 2114261120 its reverse (211624112), we get a palindrome (2325885232).

The spelling of 2114261120 in words is "two billion, one hundred fourteen million, two hundred sixty-one thousand, one hundred twenty".