2715452100 has 189 divisors, whose sum is σ = 8880768183. Its totient is φ = 720368640.

The previous prime is 2715452063. The next prime is 2715452183. The reversal of 2715452100 is 12545172.

The square root of 2715452100 is 52110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 436726404 + 2278725696 = 20898^2 + 47736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 14069604 + ... + 14069796.

Almost surely, 2^2715452100 is an apocalyptic number.

2715452100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2715452100 is the 52110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2715452100

2715452100 is an abundant number, since it is smaller than the sum of its proper divisors (6165316083).

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

2715452100 is an equidigital number, since it uses as much as digits as its factorization.

2715452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The cubic root of 2715452100 is about 1395.1279799339.

Adding to 2715452100 its reverse (12545172), we get a palindrome (2727997272).

The spelling of 2715452100 in words is "two billion, seven hundred fifteen million, four hundred fifty-two thousand, one hundred".