2267720 has 96 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 709632.

The previous prime is 2267719. The next prime is 2267723. The reversal of 2267720 is 277622.

It can be written as a sum of positive squares in 4 ways, for example, as 1044484 + 1223236 = 1022^2 + 1106^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁵ + 6⁴ + 7⁵ + 7⁶ + 2²¹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2267720.

It is not an unprimeable number, because it can be changed into a prime (2267723) 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, 25436 + ... + 25524.

2^2267720 is an apocalyptic number.

2267720 is a gapful number since it is divisible by the number (20) 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 2267720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).

2267720 is an abundant number, since it is smaller than the sum of its proper divisors (4196080).

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

2267720 is a wasteful number, since it uses less digits than its factorization.

2267720 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 (nonzero) digits is 2352, while the sum is 26.

The square root of 2267720 is about 1505.8950826668. The cubic root of 2267720 is about 131.3801671604.

The spelling of 2267720 in words is "two million, two hundred sixty-seven thousand, seven hundred twenty".