2144616100 has 81 divisors (see below), whose sum is σ = 5127531843. Its totient is φ = 778008000.

The previous prime is 2144616077. The next prime is 2144616121. The reversal of 2144616100 is 16164412.

The square root of 2144616100 is 46310.

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 1228222116 + 916393984 = 35046^2 + 30272^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5093890 + ... + 5094310.

Almost surely, 2^2144616100 is an apocalyptic number.

2144616100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2144616100 is the 46310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144616100

2144616100 is an abundant number, since it is smaller than the sum of its proper divisors (2982915743).

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

2144616100 is a wasteful number, since it uses less digits than its factorization.

2144616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 2144616100 is about 1289.5846468413.

Multiplying 2144616100 by its sum of digits (25), we get a square (53615402500 = 231550²).

2144616100 divided by its sum of digits (25) gives a square (85784644 = 9262²).

The spelling of 2144616100 in words is "two billion, one hundred forty-four million, six hundred sixteen thousand, one hundred".