2440894464 has 144 divisors (see below), whose sum is σ = 7104530160. Its totient is φ = 807321600.

The previous prime is 2440894457. The next prime is 2440894499. The reversal of 2440894464 is 4644980442.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2782794 + ... + 2783670.

It is an arithmetic number, because the mean of its divisors is an integer number (49337015).

Almost surely, 2^2440894464 is an apocalyptic number.

2440894464 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 2440894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552265080).

2440894464 is an abundant number, since it is smaller than the sum of its proper divisors (4663635696).

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

2440894464 is a wasteful number, since it uses less digits than its factorization.

2440894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 2440894464 is about 49405.4092585012. The cubic root of 2440894464 is about 1346.4275853495.

The spelling of 2440894464 in words is "two billion, four hundred forty million, eight hundred ninety-four thousand, four hundred sixty-four".