2619648 has 72 divisors (see below), whose sum is σ = 7767200. Its totient is φ = 870912.

The previous prime is 2619647. The next prime is 2619653. The reversal of 2619648 is 8469162.

2619648 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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.

Its product of digits (20736) is a multiple of the sum of its prime divisors (384).

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2619641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6723 + ... + 7101.

2^2619648 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 2619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883600).

2619648 is an abundant number, since it is smaller than the sum of its proper divisors (5147552).

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

2619648 is an equidigital number, since it uses as much as digits as its factorization.

2619648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

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

The square root of 2619648 is about 1618.5326688084. The cubic root of 2619648 is about 137.8523941609.

It can be divided in two parts, 26196 and 48, that added together give a square (26244 = 162²).

The spelling of 2619648 in words is "two million, six hundred nineteen thousand, six hundred forty-eight".