2705488128 has 504 divisors, whose sum is σ = 9830004800. Its totient is φ = 725594112.

The previous prime is 2705488117. The next prime is 2705488139. The reversal of 2705488128 is 8218845072.

It is a happy number.

2705488128 is a `hidden beast` number, since 2 + 7 + 0 + 548 + 81 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2705488117) and next prime (2705488139).

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24820938 + ... + 24821046.

Almost surely, 2^2705488128 is an apocalyptic number.

2705488128 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 2705488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915002400).

2705488128 is an abundant number, since it is smaller than the sum of its proper divisors (7124516672).

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

2705488128 is an equidigital number, since it uses as much as digits as its factorization.

2705488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2705488128 is about 52014.3069549139. The cubic root of 2705488128 is about 1393.4194794739.

The spelling of 2705488128 in words is "two billion, seven hundred five million, four hundred eighty-eight thousand, one hundred twenty-eight".