2168742202225 has 27 divisors (see below), whose sum is σ = 2700729662979. Its totient is φ = 1727612764800.

The previous prime is 2168742202163. The next prime is 2168742202301. The reversal of 2168742202225 is 5222022478612.

The square root of 2168742202225 is 1472665.

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 2161114625329 + 7627576896 = 1470073^2 + 87336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2168742202225 is a prime.

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, 2304720255 + ... + 2304721195.

Almost surely, 2^{2168742202225} is an apocalyptic number.

2168742202225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2168742202225 is the 1472665-th square number.

2168742202225 is the 736333-rd centered octagonal number.

It is an amenable number.

2168742202225 is a deficient number, since it is larger than the sum of its proper divisors (531987460754).

2168742202225 is an frugal number, since it uses more digits than its factorization.

2168742202225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 2168742202225 in words is "two trillion, one hundred sixty-eight billion, seven hundred forty-two million, two hundred two thousand, two hundred twenty-five".