2614130120 has 128 divisors (see below), whose sum is σ = 7166568960. Its totient is φ = 837734400.

The previous prime is 2614130119. The next prime is 2614130131. The reversal of 2614130120 is 210314162.

2614130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2614130092 and 2614130101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716942 + ... + 720578.

It is an arithmetic number, because the mean of its divisors is an integer number (55988820).

Almost surely, 2^2614130120 is an apocalyptic number.

2614130120 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 2614130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583284480).

2614130120 is an abundant number, since it is smaller than the sum of its proper divisors (4552438840).

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

2614130120 is a wasteful number, since it uses less digits than its factorization.

2614130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2614130120 is about 51128.5646190073. The cubic root of 2614130120 is about 1377.5553793435. Note that the first 3 decimals are identical.

Adding to 2614130120 its reverse (210314162), we get a palindrome (2824444282).

The spelling of 2614130120 in words is "two billion, six hundred fourteen million, one hundred thirty thousand, one hundred twenty".