2270480 has 40 divisors (see below), whose sum is σ = 5350104. Its totient is φ = 896000.

The previous prime is 2270459. The next prime is 2270483. The reversal of 2270480 is 840722.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 1317904 = 976^2 + 1148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2270483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7940 + ... + 8220.

2^2270480 is an apocalyptic number.

2270480 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 2270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675052).

2270480 is an abundant number, since it is smaller than the sum of its proper divisors (3079624).

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

2270480 is a wasteful number, since it uses less digits than its factorization.

2270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2270480 is about 1506.8112025068. The cubic root of 2270480 is about 131.4334456739.

The spelling of 2270480 in words is "two million, two hundred seventy thousand, four hundred eighty".