2271840 has 48 divisors (see below), whose sum is σ = 7157808. Its totient is φ = 605696.

The previous prime is 2271827. The next prime is 2271859. The reversal of 2271840 is 481722.

2271840 = 156² + 157² + ... + 219².

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2271840² = 10322513971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2271840.

It is a congruent number.

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, 1887 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (149121).

2^2271840 is an apocalyptic number.

2271840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2271840 is an abundant number, since it is smaller than the sum of its proper divisors (4885968).

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

2271840 is a wasteful number, since it uses less digits than its factorization.

2271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2271840 is about 1507.2624190897. The cubic root of 2271840 is about 131.4596829759.

The spelling of 2271840 in words is "two million, two hundred seventy-one thousand, eight hundred forty".