2262464 has 56 divisors (see below), whose sum is σ = 4937760. Its totient is φ = 1025024.

The previous prime is 2262461. The next prime is 2262467. The reversal of 2262464 is 4642622.

2262464 = T₄₃₂ + T₄₃₃ + ... + T₄₅₄.

It is an interprime number because it is at equal distance from previous prime (2262461) and next prime (2262467).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁷ + 6³ + 2²¹ + 4² + 6³ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262461) 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, 42662 + ... + 42714.

2^2262464 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 2262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468880).

2262464 is an abundant number, since it is smaller than the sum of its proper divisors (2675296).

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

2262464 is a wasteful number, since it uses less digits than its factorization.

2262464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 2262464 is about 1504.1489287966. The cubic root of 2262464 is about 131.2785866682.

The spelling of 2262464 in words is "two million, two hundred sixty-two thousand, four hundred sixty-four".