2295103801600 has 243 divisors, whose sum is σ = 5892406440193. Its totient is φ = 885027512320.

The previous prime is 2295103801553. The next prime is 2295103801693. The reversal of 2295103801600 is 61083015922.

The square root of 2295103801600 is 1514960.

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 1970003130624 + 325100670976 = 1403568^2 + 570176^2 .

It is a super-3 number, since 3×2295103801600³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2295103801600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3514706874 + ... + 3514707526.

Almost surely, 2^{2295103801600} is an apocalyptic number.

2295103801600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2295103801600 is the 1514960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295103801600

2295103801600 is an abundant number, since it is smaller than the sum of its proper divisors (3597302638593).

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

2295103801600 is an frugal number, since it uses more digits than its factorization.

2295103801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 2295103801600 in words is "two trillion, two hundred ninety-five billion, one hundred three million, eight hundred one thousand, six hundred".