2219295456 has 576 divisors, whose sum is σ = 8273664000. Its totient is φ = 574801920.

The previous prime is 2219295451. The next prime is 2219295503. The reversal of 2219295456 is 6545929122.

2219295456 is a `hidden beast` number, since 2 + 2 + 192 + 9 + 5 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219295451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24935860 + ... + 24935948.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^2219295456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832000).

2219295456 is an abundant number, since it is smaller than the sum of its proper divisors (6054368544).

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

2219295456 is a wasteful number, since it uses less digits than its factorization.

2219295456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 2219295456 is about 47109.3988074567. The cubic root of 2219295456 is about 1304.3827335771.

The spelling of 2219295456 in words is "two billion, two hundred nineteen million, two hundred ninety-five thousand, four hundred fifty-six".