2661648 has 60 divisors (see below), whose sum is σ = 7608144. Its totient is φ = 795200.

The previous prime is 2661647. The next prime is 2661661. The reversal of 2661648 is 8461662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (2661641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37453 + ... + 37523.

2^2661648 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 2661648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804072).

2661648 is an abundant number, since it is smaller than the sum of its proper divisors (4946496).

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

2661648 is a wasteful number, since it uses less digits than its factorization.

2661648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 87 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2661648 is about 1631.4557916168. The cubic root of 2661648 is about 138.5852065110.

Multiplying 2661648 by its sum of digits (33), we get a square (87834384 = 9372²).

2661648 divided by its sum of digits (33) gives a square (80656 = 284²).

The spelling of 2661648 in words is "two million, six hundred sixty-one thousand, six hundred forty-eight".