2752100 has 72 divisors (see below), whose sum is σ = 6744360. Its totient is φ = 967680.

The previous prime is 2752081. The next prime is 2752103. The reversal of 2752100 is 12572.

2752100 = T₂₉₉ + T₃₀₀ + ... + T₃₅₀.

It can be written as a sum of positive squares in 12 ways, for example, as 1098304 + 1653796 = 1048^2 + 1286^2 .

It is not an unprimeable number, because it can be changed into a prime (2752103) 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 23 ways as a sum of consecutive naturals, for example, 37664 + ... + 37736.

2^2752100 is an apocalyptic number.

2752100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372180).

2752100 is an abundant number, since it is smaller than the sum of its proper divisors (3992260).

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

2752100 is a wasteful number, since it uses less digits than its factorization.

2752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2752100 is about 1658.9454481688. The cubic root of 2752100 is about 140.1376197777.

Adding to 2752100 its reverse (12572), we get a palindrome (2764672).

The spelling of 2752100 in words is "two million, seven hundred fifty-two thousand, one hundred".