2270688 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 622080.

The previous prime is 2270687. The next prime is 2270689. The reversal of 2270688 is 8860722.

It is an interprime number because it is at equal distance from previous prime (2270687) and next prime (2270689).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20778 + ... + 20886.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

2^2270688 is an apocalyptic number.

2270688 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 2270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2270688 is an abundant number, since it is smaller than the sum of its proper divisors (4825632).

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

2270688 is a wasteful number, since it uses less digits than its factorization.

2270688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2270688 is about 1506.8802208537. The cubic root of 2270688 is about 131.4374591163.

The spelling of 2270688 in words is "two million, two hundred seventy thousand, six hundred eighty-eight".