2438624664 has 128 divisors (see below), whose sum is σ = 7776576000. Its totient is φ = 693608832.

The previous prime is 2438624647. The next prime is 2438624677. The reversal of 2438624664 is 4664268342.

2438624664 is a `hidden beast` number, since 24 + 386 + 246 + 6 + 4 = 666.

It is a super-2 number, since 2×2438624664² = 11893780503738225792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342727 + ... + 349769.

It is an arithmetic number, because the mean of its divisors is an integer number (60754500).

Almost surely, 2^2438624664 is an apocalyptic number.

2438624664 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 2438624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888288000).

2438624664 is an abundant number, since it is smaller than the sum of its proper divisors (5337951336).

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

2438624664 is a wasteful number, since it uses less digits than its factorization.

2438624664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7284 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 2438624664 is about 49382.4327468787. The cubic root of 2438624664 is about 1346.0101059967.

The spelling of 2438624664 in words is "two billion, four hundred thirty-eight million, six hundred twenty-four thousand, six hundred sixty-four".