2643169440 has 96 divisors (see below), whose sum is σ = 8399837376. Its totient is φ = 698593280.

The previous prime is 2643169429. The next prime is 2643169447. The reversal of 2643169440 is 449613462.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2643169447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29875 + ... + 78605.

It is an arithmetic number, because the mean of its divisors is an integer number (87498306).

Almost surely, 2^2643169440 is an apocalyptic number.

2643169440 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 2643169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199918688).

2643169440 is an abundant number, since it is smaller than the sum of its proper divisors (5756667936).

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

2643169440 is a wasteful number, since it uses less digits than its factorization.

2643169440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48862 (or 48854 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2643169440 is about 51411.7636344057. The cubic root of 2643169440 is about 1382.6375099616.

The spelling of 2643169440 in words is "two billion, six hundred forty-three million, one hundred sixty-nine thousand, four hundred forty".