2618496 has 48 divisors (see below), whose sum is σ = 7538310. Its totient is φ = 872448.

The previous prime is 2618467. The next prime is 2618501. The reversal of 2618496 is 6948162.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 876096 = 1320^2 + 936^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2618496.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16 + ... + 2288.

2^2618496 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 2618496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769155).

2618496 is an abundant number, since it is smaller than the sum of its proper divisors (4919814).

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

2618496 is a wasteful number, since it uses less digits than its factorization.

2618496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2618496 is about 1618.1767517796. The cubic root of 2618496 is about 137.8321841629.

The spelling of 2618496 in words is "two million, six hundred eighteen thousand, four hundred ninety-six".