2662464 has 84 divisors (see below), whose sum is σ = 8223504. Its totient is φ = 758016.

The previous prime is 2662459. The next prime is 2662469. The reversal of 2662464 is 4642662.

It is an interprime number because it is at equal distance from previous prime (2662459) and next prime (2662469).

It is a tau number, because it is divible by the number of its divisors (84).

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 2⁵ + 6⁴ + 6⁷ + 2²¹ + 4² + 6⁷ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (2662469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9267 + ... + 9549.

2^2662464 is an apocalyptic number.

2662464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111752).

2662464 is an abundant number, since it is smaller than the sum of its proper divisors (5561040).

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

2662464 is a wasteful number, since it uses less digits than its factorization.

2662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2662464 is about 1631.7058558453. The cubic root of 2662464 is about 138.5993674086.

The spelling of 2662464 in words is "two million, six hundred sixty-two thousand, four hundred sixty-four".