2067613128 has 112 divisors (see below), whose sum is σ = 6642991680. Its totient is φ = 590734944.

The previous prime is 2067613127. The next prime is 2067613147. The reversal of 2067613128 is 8213167602.

2067613128 is a `hidden beast` number, since 20 + 6 + 7 + 613 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2067613092 and 2067613101.

It is not an unprimeable number, because it can be changed into a prime (2067613123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15501 + ... + 66147.

Almost surely, 2^2067613128 is an apocalyptic number.

2067613128 is a gapful number since it is divisible by the number (28) 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 2067613128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321495840).

2067613128 is an abundant number, since it is smaller than the sum of its proper divisors (4575378552).

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

2067613128 is an equidigital number, since it uses as much as digits as its factorization.

2067613128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50678 (or 50659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2067613128 is about 45471.0141518748. The cubic root of 2067613128 is about 1273.9618622174.

The spelling of 2067613128 in words is "two billion, sixty-seven million, six hundred thirteen thousand, one hundred twenty-eight".