2874032100 has 81 divisors (see below), whose sum is σ = 9013537897. Its totient is φ = 765979680.

The previous prime is 2874032081. The next prime is 2874032111. The reversal of 2874032100 is 12304782.

The square root of 2874032100 is 53610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1034651556 + 1839380544 = 32166^2 + 42888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1607407 + ... + 1609193.

Almost surely, 2^2874032100 is an apocalyptic number.

2874032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2874032100 is the 53610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2874032100

2874032100 is an abundant number, since it is smaller than the sum of its proper divisors (6139505797).

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

2874032100 is a wasteful number, since it uses less digits than its factorization.

2874032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 2874032100 is about 1421.7739022271.

Adding to 2874032100 its reverse (12304782), we get a palindrome (2886336882).

The spelling of 2874032100 in words is "two billion, eight hundred seventy-four million, thirty-two thousand, one hundred".