2612112162 has 64 divisors (see below), whose sum is σ = 6107802624. Its totient is φ = 736655040.

The previous prime is 2612112161. The next prime is 2612112221.

2612112162 is nontrivially palindromic in base 10.

2612112162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2612112161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32913 + ... + 79419.

It is an arithmetic number, because the mean of its divisors is an integer number (95434416).

Almost surely, 2^2612112162 is an apocalyptic number.

2612112162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612112162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053901312).

2612112162 is an abundant number, since it is smaller than the sum of its proper divisors (3495690462).

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

2612112162 is a wasteful number, since it uses less digits than its factorization.

2612112162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46583.

The product of its digits is 576, while the sum is 24.

The square root of 2612112162 is about 51108.8266545026. The cubic root of 2612112162 is about 1377.2008236057.

It can be divided in two parts, 26121 and 12162, that added together give a palindrome (38283).

The spelling of 2612112162 in words is "two billion, six hundred twelve million, one hundred twelve thousand, one hundred sixty-two".