2638009227392 has 576 divisors, whose sum is σ = 7215044812920. Its totient is φ = 953745408000.

The previous prime is 2638009227367. The next prime is 2638009227397. The reversal of 2638009227392 is 2937229008362.

It can be written as a sum of positive squares in 4 ways, for example, as 2527769290816 + 110239936576 = 1589896^2 + 332024^2 .

It is not an unprimeable number, because it can be changed into a prime (2638009227397) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 941808392 + ... + 941811192.

Almost surely, 2^{2638009227392} is an apocalyptic number.

2638009227392 is a gapful number since it is divisible by the number (22) 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 2638009227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607522406460).

2638009227392 is an abundant number, since it is smaller than the sum of its proper divisors (4577035585528).

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

2638009227392 is a wasteful number, since it uses less digits than its factorization.

2638009227392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 2638009227392 in words is "two trillion, six hundred thirty-eight billion, nine million, two hundred twenty-seven thousand, three hundred ninety-two".