2638126040 has 128 divisors (see below), whose sum is σ = 6718464000. Its totient is φ = 923635200.

The previous prime is 2638126031. The next prime is 2638126087. The reversal of 2638126040 is 406218362.

It is a junction number, because it is equal to n+sod(n) for n = 2638125988 and 2638126006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3668801 + ... + 3669519.

It is an arithmetic number, because the mean of its divisors is an integer number (52488000).

Almost surely, 2^2638126040 is an apocalyptic number.

2638126040 is a gapful number since it is divisible by the number (20) 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 2638126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359232000).

2638126040 is an abundant number, since it is smaller than the sum of its proper divisors (4080337960).

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

2638126040 is a wasteful number, since it uses less digits than its factorization.

2638126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2638126040 is about 51362.6911288729. The cubic root of 2638126040 is about 1381.7575520122.

The spelling of 2638126040 in words is "two billion, six hundred thirty-eight million, one hundred twenty-six thousand, forty".