2612416224 has 48 divisors (see below), whose sum is σ = 7481013120. Its totient is φ = 791640960.

The previous prime is 2612416223. The next prime is 2612416241. The reversal of 2612416224 is 4226142162.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2612416191 and 2612416200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612416223) 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 7 ways as a sum of consecutive naturals, for example, 1235884 + ... + 1237995.

It is an arithmetic number, because the mean of its divisors is an integer number (155854440).

Almost surely, 2^2612416224 is an apocalyptic number.

2612416224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2612416224 is an abundant number, since it is smaller than the sum of its proper divisors (4868596896).

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

2612416224 is a wasteful number, since it uses less digits than its factorization.

2612416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473903 (or 2473895 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2612416224 is about 51111.8012204618. The cubic root of 2612416224 is about 1377.2542590587.

Adding to 2612416224 its reverse (4226142162), we get a palindrome (6838558386).

The spelling of 2612416224 in words is "two billion, six hundred twelve million, four hundred sixteen thousand, two hundred twenty-four".