2616464448 has 168 divisors, whose sum is σ = 8355711000. Its totient is φ = 777240576.

The previous prime is 2616464447. The next prime is 2616464491. The reversal of 2616464448 is 8444646162.

It can be written as a sum of positive squares in 4 ways, for example, as 238146624 + 2378317824 = 15432^2 + 48768^2 .

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 (2616464443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211128 + ... + 223176.

It is an arithmetic number, because the mean of its divisors is an integer number (49736375).

Almost surely, 2^2616464448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177855500).

2616464448 is an abundant number, since it is smaller than the sum of its proper divisors (5739246552).

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

2616464448 is a wasteful number, since it uses less digits than its factorization.

2616464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109 (or 12096 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2616464448 is about 51151.3875471624. The cubic root of 2616464448 is about 1377.9652938288.

The spelling of 2616464448 in words is "two billion, six hundred sixteen million, four hundred sixty-four thousand, four hundred forty-eight".