2467638432 has 180 divisors, whose sum is σ = 8442548730. Its totient is φ = 705003264.

The previous prime is 2467638427. The next prime is 2467638473. The reversal of 2467638432 is 2348367642.

2467638432 is a `hidden beast` number, since 2 + 4 + 6 + 7 + 638 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2464526736 + 3111696 = 49644^2 + 1764^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117294 + ... + 136722.

Almost surely, 2^2467638432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2467638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221274365).

2467638432 is an abundant number, since it is smaller than the sum of its proper divisors (5974910298).

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

2467638432 is a wasteful number, since it uses less digits than its factorization.

2467638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19465 (or 19441 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2467638432 is about 49675.3302153091. The cubic root of 2467638432 is about 1351.3271689226.

The spelling of 2467638432 in words is "two billion, four hundred sixty-seven million, six hundred thirty-eight thousand, four hundred thirty-two".