2640264 has 64 divisors (see below), whose sum is σ = 7352640. Its totient is φ = 783360.

The previous prime is 2640251. The next prime is 2640271. The reversal of 2640264 is 4620462.

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

It is a d-powerful number, because it can be written as 2 + 6 + 4⁵ + 0 + 2²¹ + 6⁷ + 4⁹ .

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, 19204 + ... + 19340.

It is an arithmetic number, because the mean of its divisors is an integer number (114885).

2^2640264 is an apocalyptic number.

2640264 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 2640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676320).

2640264 is an abundant number, since it is smaller than the sum of its proper divisors (4712376).

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

2640264 is a wasteful number, since it uses less digits than its factorization.

2640264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2640264 is about 1624.8889192803. Note that the first 3 decimals coincide. The cubic root of 2640264 is about 138.2130713955.

Multiplying 2640264 by its sum of digits (24), we get a palindrome (63366336).

2640264 divided by its sum of digits (24) gives a palindrome (110011).

The spelling of 2640264 in words is "two million, six hundred forty thousand, two hundred sixty-four".