2874032928 has 234 divisors, whose sum is σ = 9190469169. Its totient is φ = 884317824.

The previous prime is 2874032921. The next prime is 2874032983. The reversal of 2874032928 is 8292304782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2874032928 is a `hidden beast` number, since 287 + 40 + 329 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2457383184 + 416649744 = 49572^2 + 20412^2 .

It is a tau number, because it is divible by the number of its divisors (234).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37908.

It is not an unprimeable number, because it can be changed into a prime (2874032921) by changing a digit.

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 38 ways as a sum of consecutive naturals, for example, 221079450 + ... + 221079462.

Almost surely, 2^2874032928 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 2874032928

2874032928 is an abundant number, since it is smaller than the sum of its proper divisors (6316436241).

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

2874032928 is an frugal number, since it uses more digits than its factorization.

2874032928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

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

The square root of 2874032928 is about 53610.0077224393. The cubic root of 2874032928 is about 1421.7740387633.

The spelling of 2874032928 in words is "two billion, eight hundred seventy-four million, thirty-two thousand, nine hundred twenty-eight".