2438647467984 has 1440 divisors, whose sum is σ = 9374053188864. Its totient is φ = 597405818880.

The previous prime is 2438647467953. The next prime is 2438647468013. The reversal of 2438647467984 is 4897647468342.

2438647467984 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 6 + 474 + 6 + 79 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 7791205812 + ... + 7791206124.

Almost surely, 2^{2438647467984} is an apocalyptic number.

2438647467984 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 2438647467984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687026594432).

2438647467984 is an abundant number, since it is smaller than the sum of its proper divisors (6935405720880).

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

2438647467984 is a wasteful number, since it uses less digits than its factorization.

2438647467984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 418 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 2438647467984 in words is "two trillion, four hundred thirty-eight billion, six hundred forty-seven million, four hundred sixty-seven thousand, nine hundred eighty-four".