2638000273248 has 480 divisors, whose sum is σ = 8106910479360. Its totient is φ = 840585600000.

The previous prime is 2638000273247. The next prime is 2638000273291. The reversal of 2638000273248 is 8423720008362.

2638000273248 is a `hidden beast` number, since 2 + 6 + 380 + 0 + 0 + 27 + 3 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638000273247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2803400458 + ... + 2803401398.

It is an arithmetic number, because the mean of its divisors is an integer number (16889396832).

Almost surely, 2^{2638000273248} 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 2638000273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053455239680).

2638000273248 is an abundant number, since it is smaller than the sum of its proper divisors (5468910206112).

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

2638000273248 is a wasteful number, since it uses less digits than its factorization.

2638000273248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2638000273248 in words is "two trillion, six hundred thirty-eight billion, two hundred seventy-three thousand, two hundred forty-eight".