2613376 has 32 divisors (see below), whose sum is σ = 5517180. Its totient is φ = 1228800.

The previous prime is 2613371. The next prime is 2613389. The reversal of 2613376 is 6733162.

2613376 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 129600 = 1576^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2613371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576 + ... + 2776.

2^2613376 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 2613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758590).

2613376 is an abundant number, since it is smaller than the sum of its proper divisors (2903804).

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

2613376 is a wasteful number, since it uses less digits than its factorization.

2613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 2613376 is about 1616.5939502547. The cubic root of 2613376 is about 137.7422901626.

The spelling of 2613376 in words is "two million, six hundred thirteen thousand, three hundred seventy-six".