2753243304100 has 81 divisors (see below), whose sum is σ = 6060168246153. Its totient is φ = 1085733181440.

The previous prime is 2753243303969. The next prime is 2753243304121. The reversal of 2753243304100 is 14033423572.

The square root of 2753243304100 is 1659290.

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 439948317796 + 2313294986304 = 663286^2 + 1520952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1211280564 + ... + 1211282836.

Almost surely, 2^{2753243304100} is an apocalyptic number.

2753243304100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2753243304100 is the 1659290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753243304100

2753243304100 is an abundant number, since it is smaller than the sum of its proper divisors (3306924942053).

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

2753243304100 is an frugal number, since it uses more digits than its factorization.

2753243304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

Adding to 2753243304100 its reverse (14033423572), we get a palindrome (2767276727672).

The spelling of 2753243304100 in words is "two trillion, seven hundred fifty-three billion, two hundred forty-three million, three hundred four thousand, one hundred".