2638456128 has 672 divisors, whose sum is σ = 10346618880. Its totient is φ = 622080000.

The previous prime is 2638456111. The next prime is 2638456129. The reversal of 2638456128 is 8216548362.

2638456128 is a `hidden beast` number, since 2 + 6 + 3 + 84 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2638456128² = 13922901478761504768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638456129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26123278 + ... + 26123378.

Almost surely, 2^2638456128 is an apocalyptic number.

2638456128 is a gapful number since it is divisible by the number (28) 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 2638456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173309440).

2638456128 is an abundant number, since it is smaller than the sum of its proper divisors (7708162752).

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

2638456128 is a wasteful number, since it uses less digits than its factorization.

2638456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2638456128 is about 51365.9043335168. The cubic root of 2638456128 is about 1381.8151791003.

The spelling of 2638456128 in words is "two billion, six hundred thirty-eight million, four hundred fifty-six thousand, one hundred twenty-eight".