2146963456 has 104 divisors (see below), whose sum is σ = 4960993824. Its totient is φ = 918159360.

The previous prime is 2146963433. The next prime is 2146963457. The reversal of 2146963456 is 6543696412.

It is not an unprimeable number, because it can be changed into a prime (2146963457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764551 + ... + 767353.

Almost surely, 2^2146963456 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 2146963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480496912).

2146963456 is an abundant number, since it is smaller than the sum of its proper divisors (2814030368).

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

2146963456 is a wasteful number, since it uses less digits than its factorization.

2146963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2833 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The square root of 2146963456 is about 46335.3370118315. The cubic root of 2146963456 is about 1290.0549735201.

The spelling of 2146963456 in words is "two billion, one hundred forty-six million, nine hundred sixty-three thousand, four hundred fifty-six".