2440607664 has 80 divisors (see below), whose sum is σ = 6941341440. Its totient is φ = 732775680.

The previous prime is 2440607657. The next prime is 2440607699. The reversal of 2440607664 is 4667060442.

2440607664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36349 + ... + 78755.

It is an arithmetic number, because the mean of its divisors is an integer number (86766768).

Almost surely, 2^2440607664 is an apocalyptic number.

2440607664 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 2440607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470670720).

2440607664 is an abundant number, since it is smaller than the sum of its proper divisors (4500733776).

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

2440607664 is a wasteful number, since it uses less digits than its factorization.

2440607664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42538 (or 42532 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2440607664 is about 49402.5066570513. The cubic root of 2440607664 is about 1346.3748491412.

The spelling of 2440607664 in words is "two billion, four hundred forty million, six hundred seven thousand, six hundred sixty-four".