2192460644416 has 189 divisors, whose sum is σ = 5124740024439. Its totient is φ = 927934414848.

The previous prime is 2192460644401. The next prime is 2192460644453. The reversal of 2192460644416 is 6144460642912.

It is a happy number.

The square root of 2192460644416 is 1480696.

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 72524644416 + 2119936000000 = 269304^2 + 1456000^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2192460644416.

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, 11359899616 + ... + 11359899808.

Almost surely, 2^{2192460644416} is an apocalyptic number.

2192460644416 is the 1480696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192460644416

2192460644416 is an abundant number, since it is smaller than the sum of its proper divisors (2932279380023).

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

2192460644416 is an frugal number, since it uses more digits than its factorization.

2192460644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 2192460644416 by its sum of digits (49), we get a square (107430571576384 = 10364872²).

2192460644416 divided by its sum of digits (49) gives a square (44744094784 = 211528²).

The spelling of 2192460644416 in words is "two trillion, one hundred ninety-two billion, four hundred sixty million, six hundred forty-four thousand, four hundred sixteen".