2153678128 has 80 divisors (see below), whose sum is σ = 4938858496. Its totient is φ = 890300160.

The previous prime is 2153678113. The next prime is 2153678143. The reversal of 2153678128 is 8218763512.

It is an interprime number because it is at equal distance from previous prime (2153678113) and next prime (2153678143).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294225 + ... + 1295887.

Almost surely, 2^2153678128 is an apocalyptic number.

2153678128 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 2153678128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469429248).

2153678128 is an abundant number, since it is smaller than the sum of its proper divisors (2785180368).

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

2153678128 is a wasteful number, since it uses less digits than its factorization.

2153678128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 2153678128 is about 46407.7378030862. The cubic root of 2153678128 is about 1291.3984649739.

The spelling of 2153678128 in words is "two billion, one hundred fifty-three million, six hundred seventy-eight thousand, one hundred twenty-eight".