2638186848 has 384 divisors, whose sum is σ = 8926848000. Its totient is φ = 759559680.

The previous prime is 2638186823. The next prime is 2638186853. The reversal of 2638186848 is 8486818362.

2638186848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2638186794 and 2638186803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17705878 + ... + 17706026.

It is an arithmetic number, because the mean of its divisors is an integer number (23247000).

Almost surely, 2^2638186848 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 2638186848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424000).

2638186848 is an abundant number, since it is smaller than the sum of its proper divisors (6288661152).

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

2638186848 is a wasteful number, since it uses less digits than its factorization.

2638186848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2638186848 is about 51363.2830726386. The cubic root of 2638186848 is about 1381.7681682939.

The spelling of 2638186848 in words is "two billion, six hundred thirty-eight million, one hundred eighty-six thousand, eight hundred forty-eight".