2644040448 has 144 divisors (see below), whose sum is σ = 8936040960. Its totient is φ = 755426304.

The previous prime is 2644040407. The next prime is 2644040449. The reversal of 2644040448 is 8440404462.

2644040448 is a `hidden beast` number, since 2 + 644 + 0 + 4 + 0 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2644040449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21061 + ... + 75707.

It is an arithmetic number, because the mean of its divisors is an integer number (62055840).

Almost surely, 2^2644040448 is an apocalyptic number.

2644040448 is a gapful number since it is divisible by the number (28) 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 2644040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468020480).

2644040448 is an abundant number, since it is smaller than the sum of its proper divisors (6292000512).

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

2644040448 is an equidigital number, since it uses as much as digits as its factorization.

2644040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54679 (or 54659 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2644040448 is about 51420.2338384415. The cubic root of 2644040448 is about 1382.7893675579.

The spelling of 2644040448 in words is "two billion, six hundred forty-four million, forty thousand, four hundred forty-eight".