2831304100 has 81 divisors (see below), whose sum is σ = 6547515177. Its totient is φ = 1062497280.

The previous prime is 2831304089. The next prime is 2831304101. The reversal of 2831304100 is 14031382.

The square root of 2831304100 is 53210.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2679718756 + 151585344 = 51766^2 + 12312^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2831304101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9045544 + ... + 9045856.

Almost surely, 2^2831304100 is an apocalyptic number.

2831304100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2831304100 is the 53210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831304100

2831304100 is an abundant number, since it is smaller than the sum of its proper divisors (3716211077).

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

2831304100 is a wasteful number, since it uses less digits than its factorization.

2831304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 2831304100 is about 1414.6928957652.

Multiplying 2831304100 by its product of nonzero digits (576), we get a square (1630831161600 = 1277040²).

Adding to 2831304100 its reverse (14031382), we get a palindrome (2845335482).

The spelling of 2831304100 in words is "two billion, eight hundred thirty-one million, three hundred four thousand, one hundred".