2705974128 has 480 divisors, whose sum is σ = 9584719872. Its totient is φ = 727833600.

The previous prime is 2705974111. The next prime is 2705974153. The reversal of 2705974128 is 8214795072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17235426 + ... + 17235582.

Almost surely, 2^2705974128 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 2705974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792359936).

2705974128 is an abundant number, since it is smaller than the sum of its proper divisors (6878745744).

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

2705974128 is a wasteful number, since it uses less digits than its factorization.

2705974128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2705974128 is about 52018.9785366841. The cubic root of 2705974128 is about 1393.5029100527.

The spelling of 2705974128 in words is "two billion, seven hundred five million, nine hundred seventy-four thousand, one hundred twenty-eight".