2438968896 has 672 divisors, whose sum is σ = 9467494400. Its totient is φ = 582266880.

The previous prime is 2438968891. The next prime is 2438968913. The reversal of 2438968896 is 6988698342.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (2438968891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30872985 + ... + 30873063.

Almost surely, 2^2438968896 is an apocalyptic number.

2438968896 is a gapful number since it is divisible by the number (26) 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 2438968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733747200).

2438968896 is an abundant number, since it is smaller than the sum of its proper divisors (7028525504).

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

2438968896 is a wasteful number, since it uses less digits than its factorization.

2438968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 2438968896 is about 49385.9179928854. The cubic root of 2438968896 is about 1346.0734364957.

The spelling of 2438968896 in words is "two billion, four hundred thirty-eight million, nine hundred sixty-eight thousand, eight hundred ninety-six".