2261248 has 54 divisors (see below), whose sum is σ = 5029262. Its totient is φ = 1013760.

The previous prime is 2261227. The next prime is 2261267. The reversal of 2261248 is 8421622.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 278784 = 1408^2 + 528^2 .

It is a super-2 number, since 2×2261248² = 10226485035008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30940 + ... + 31012.

2^2261248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514631).

2261248 is an abundant number, since it is smaller than the sum of its proper divisors (2768014).

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

2261248 is an equidigital number, since it uses as much as digits as its factorization.

2261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 2261248 is about 1503.7446591759. The cubic root of 2261248 is about 131.2550631456.

The spelling of 2261248 in words is "two million, two hundred sixty-one thousand, two hundred forty-eight".