2656835328 has 144 divisors (see below), whose sum is σ = 8111900160. Its totient is φ = 756215808.

The previous prime is 2656835309. The next prime is 2656835371. The reversal of 2656835328 is 8235386562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1703413 + ... + 1704971.

It is an arithmetic number, because the mean of its divisors is an integer number (56332640).

Almost surely, 2^2656835328 is an apocalyptic number.

2656835328 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 2656835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055950080).

2656835328 is an abundant number, since it is smaller than the sum of its proper divisors (5455064832).

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

2656835328 is a wasteful number, since it uses less digits than its factorization.

2656835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1888 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 2656835328 is about 51544.4985231208. The cubic root of 2656835328 is about 1385.0162827438.

The spelling of 2656835328 in words is "two billion, six hundred fifty-six million, eight hundred thirty-five thousand, three hundred twenty-eight".