2638475314272 has 576 divisors, whose sum is σ = 9283167129600. Its totient is φ = 721294295040.

The previous prime is 2638475314259. The next prime is 2638475314309. The reversal of 2638475314272 is 2724135748362.

2638475314272 is a `hidden beast` number, since 2 + 6 + 3 + 84 + 7 + 531 + 4 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150169104 + ... + 150186672.

It is an arithmetic number, because the mean of its divisors is an integer number (16116609600).

Almost surely, 2^{2638475314272} 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 2638475314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641583564800).

2638475314272 is an abundant number, since it is smaller than the sum of its proper divisors (6644691815328).

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

2638475314272 is a wasteful number, since it uses less digits than its factorization.

2638475314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17721 (or 17701 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 2638475314272 in words is "two trillion, six hundred thirty-eight billion, four hundred seventy-five million, three hundred fourteen thousand, two hundred seventy-two".