2641440 has 48 divisors (see below), whose sum is σ = 8322048. Its totient is φ = 704256.

The previous prime is 2641433. The next prime is 2641451. The reversal of 2641440 is 441462.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (173376).

2^2641440 is an apocalyptic number.

2641440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641440 is an abundant number, since it is smaller than the sum of its proper divisors (5680608).

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

2641440 is a wasteful number, since it uses less digits than its factorization.

2641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2641440 is about 1625.2507498845. The cubic root of 2641440 is about 138.2335888445.

It can be divided in two parts, 2641 and 440, that added together give a triangular number (3081 = T₇₈).

The spelling of 2641440 in words is "two million, six hundred forty-one thousand, four hundred forty".