2046819456 has 320 divisors, whose sum is σ = 6744656160. Its totient is φ = 611020800.

The previous prime is 2046819451. The next prime is 2046819457. The reversal of 2046819456 is 6549186402.

It is not an unprimeable number, because it can be changed into a prime (2046819451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14940220 + ... + 14940356.

Almost surely, 2^2046819456 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 2046819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372328080).

2046819456 is an abundant number, since it is smaller than the sum of its proper divisors (4697836704).

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

2046819456 is a wasteful number, since it uses less digits than its factorization.

2046819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2046819456 is about 45241.7888240507. The cubic root of 2046819456 is about 1269.6767846757.

The spelling of 2046819456 in words is "two billion, forty-six million, eight hundred nineteen thousand, four hundred fifty-six".