2271620 has 24 divisors (see below), whose sum is σ = 5137944. Its totient is φ = 838656.

The previous prime is 2271613. The next prime is 2271637. The reversal of 2271620 is 261722.

2271620 = 154² + 155² + ... + 218².

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 2262016 = 98^2 + 1504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2271592 and 2271601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (214081).

2^2271620 is an apocalyptic number.

2271620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2271620 is an abundant number, since it is smaller than the sum of its proper divisors (2866324).

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

2271620 is a wasteful number, since it uses less digits than its factorization.

2271620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2271620 is about 1507.1894373303. The cubic root of 2271620 is about 131.4554394165.

The spelling of 2271620 in words is "two million, two hundred seventy-one thousand, six hundred twenty".