2613368448 has 320 divisors, whose sum is σ = 8246430720. Its totient is φ = 820316160.

The previous prime is 2613368441. The next prime is 2613368453. The reversal of 2613368448 is 8448633162.

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

Its product of digits (663552) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2613368441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15106090 + ... + 15106262.

It is an arithmetic number, because the mean of its divisors is an integer number (25770096).

Almost surely, 2^2613368448 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 2613368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123215360).

2613368448 is an abundant number, since it is smaller than the sum of its proper divisors (5633062272).

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

2613368448 is a wasteful number, since it uses less digits than its factorization.

2613368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2613368448 is about 51121.1154807874. The cubic root of 2613368448 is about 1377.4215748228.

The spelling of 2613368448 in words is "two billion, six hundred thirteen million, three hundred sixty-eight thousand, four hundred forty-eight".