2438496864 has 144 divisors (see below), whose sum is σ = 7499314368. Its totient is φ = 748670976.

The previous prime is 2438496821. The next prime is 2438496883. The reversal of 2438496864 is 4686948342.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2438496864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224814 + ... + 235410.

It is an arithmetic number, because the mean of its divisors is an integer number (52078572).

Almost surely, 2^2438496864 is an apocalyptic number.

2438496864 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 2438496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749657184).

2438496864 is an abundant number, since it is smaller than the sum of its proper divisors (5060817504).

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

2438496864 is a wasteful number, since it uses less digits than its factorization.

2438496864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10666 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 2438496864 is about 49381.1387475016. The cubic root of 2438496864 is about 1345.9865923199.

The spelling of 2438496864 in words is "two billion, four hundred thirty-eight million, four hundred ninety-six thousand, eight hundred sixty-four".