2688227136 has 336 divisors, whose sum is σ = 9606889600. Its totient is φ = 721944576.

The previous prime is 2688227077. The next prime is 2688227137. The reversal of 2688227136 is 6317228862.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2688227091 and 2688227100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688227137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495360 + ... + 3496128.

Almost surely, 2^2688227136 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 2688227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803444800).

2688227136 is an abundant number, since it is smaller than the sum of its proper divisors (6918662464).

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

2688227136 is a wasteful number, since it uses less digits than its factorization.

2688227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 798 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2688227136 is about 51848.1160313468. The cubic root of 2688227136 is about 1390.4498200851.

The spelling of 2688227136 in words is "two billion, six hundred eighty-eight million, two hundred twenty-seven thousand, one hundred thirty-six".