2638133472 has 96 divisors (see below), whose sum is σ = 7468070400. Its totient is φ = 810616320.

The previous prime is 2638133441. The next prime is 2638133483. The reversal of 2638133472 is 2743318362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2638133472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1745197 + ... + 1746707.

It is an arithmetic number, because the mean of its divisors is an integer number (77792400).

Almost surely, 2^2638133472 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 2638133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734035200).

2638133472 is an abundant number, since it is smaller than the sum of its proper divisors (4829936928).

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

2638133472 is a wasteful number, since it uses less digits than its factorization.

2638133472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2928 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 2638133472 is about 51362.7634770560. The cubic root of 2638133472 is about 1381.7588495510.

The spelling of 2638133472 in words is "two billion, six hundred thirty-eight million, one hundred thirty-three thousand, four hundred seventy-two".