2661288 has 96 divisors (see below), whose sum is σ = 8098560. Its totient is φ = 725760.

The previous prime is 2661283. The next prime is 2661317. The reversal of 2661288 is 8821662.

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 (2661283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36420 + ... + 36492.

It is an arithmetic number, because the mean of its divisors is an integer number (84360).

2^2661288 is an apocalyptic number.

2661288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049280).

2661288 is an abundant number, since it is smaller than the sum of its proper divisors (5437272).

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

2661288 is a wasteful number, since it uses less digits than its factorization.

2661288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2661288 is about 1631.3454569772. The cubic root of 2661288 is about 138.5789581361.

The spelling of 2661288 in words is "two million, six hundred sixty-one thousand, two hundred eighty-eight".