2150414120 has 32 divisors (see below), whose sum is σ = 4839841800. Its totient is φ = 859915008.

The previous prime is 2150414117. The next prime is 2150414131. The reversal of 2150414120 is 214140512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1881650884 + 268763236 = 43378^2 + 16394^2 .

It is a super-3 number, since 3×2150414120³ (a number of 29 digits) contains 333 as substring.

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 = 2150414092 and 2150414101.

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, 197786 + ... + 208374.

Almost surely, 2^2150414120 is an apocalyptic number.

2150414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150414120 is an abundant number, since it is smaller than the sum of its proper divisors (2689427680).

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

2150414120 is a wasteful number, since it uses less digits than its factorization.

2150414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2150414120 is about 46372.5578332703. The cubic root of 2150414120 is about 1290.7457419142.

Adding to 2150414120 its reverse (214140512), we get a palindrome (2364554632).

The spelling of 2150414120 in words is "two billion, one hundred fifty million, four hundred fourteen thousand, one hundred twenty".