2192256000 has 528 divisors, whose sum is σ = 8667947808. Its totient is φ = 528384000.

The previous prime is 2192255983. The next prime is 2192256007. The reversal of 2192256000 is 6522912.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (2192256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671914 + ... + 12672086.

Almost surely, 2^2192256000 is an apocalyptic number.

2192256000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333973904).

2192256000 is an abundant number, since it is smaller than the sum of its proper divisors (6475691808).

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

2192256000 is a wasteful number, since it uses less digits than its factorization.

2192256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2192256000 is about 46821.5335075647. The cubic root of 2192256000 is about 1299.0636255053.

Adding to 2192256000 its reverse (6522912), we get a palindrome (2198778912).

The spelling of 2192256000 in words is "two billion, one hundred ninety-two million, two hundred fifty-six thousand".