2640000 has 160 divisors (see below), whose sum is σ = 9559440. Its totient is φ = 640000.

The previous prime is 2639999. The next prime is 2640013. The reversal of 2640000 is 462.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 5.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 239995 + ... + 240005.

2^2640000 is an apocalyptic number.

2640000 is a gapful number since it is divisible by the number (20) 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 2640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779720).

2640000 is an abundant number, since it is smaller than the sum of its proper divisors (6919440).

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

2640000 is an equidigital number, since it uses as much as digits as its factorization.

2640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2640000 is about 1624.8076809272. The cubic root of 2640000 is about 138.2084646002.

Adding to 2640000 its reverse (462), we get a palindrome (2640462).

The spelling of 2640000 in words is "two million, six hundred forty thousand".