2263128 has 64 divisors (see below), whose sum is σ = 6816000. Its totient is φ = 611712.

The previous prime is 2263117. The next prime is 2263139. The reversal of 2263128 is 8213622.

2263128 is a nontrivial binomial coefficient, being equal to C(2128, 2).

It is an interprime number because it is at equal distance from previous prime (2263117) and next prime (2263139).

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹¹ + 2¹⁷ + 6 + 3⁴ + 1 + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2263098 and 2263107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2838 + ... + 3546.

It is an arithmetic number, because the mean of its divisors is an integer number (106500).

2^2263128 is an apocalyptic number.

2263128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2263128 is the 2127-th triangular number and also the 1064-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408000).

2263128 is an abundant number, since it is smaller than the sum of its proper divisors (4552872).

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

2263128 is a wasteful number, since it uses less digits than its factorization.

2263128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2263128 is about 1504.3696354287. The cubic root of 2263128 is about 131.2914281919.

The spelling of 2263128 in words is "two million, two hundred sixty-three thousand, one hundred twenty-eight".