2612288 has 70 divisors (see below), whose sum is σ = 6403086. Its totient is φ = 1053696.

The previous prime is 2612287. The next prime is 2612297. The reversal of 2612288 is 8822162.

It can be written as a sum of positive squares in only one way, i.e., 2458624 + 153664 = 1568^2 + 392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2612288.

It is not an unprimeable number, because it can be changed into a prime (2612287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153656 + ... + 153672.

2^2612288 is an apocalyptic number.

2612288 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 2612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201543).

2612288 is an abundant number, since it is smaller than the sum of its proper divisors (3790798).

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

2612288 is an frugal number, since it uses more digits than its factorization.

2612288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 26 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 2612288 is about 1616.2574052421. The cubic root of 2612288 is about 137.7231725648.

The spelling of 2612288 in words is "two million, six hundred twelve thousand, two hundred eighty-eight".