2346454656 has 384 divisors, whose sum is σ = 8628547200. Its totient is φ = 618098688.

The previous prime is 2346454633. The next prime is 2346454657. The reversal of 2346454656 is 6564546432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2346454657) 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 47 ways as a sum of consecutive naturals, for example, 2830050 + ... + 2830878.

It is an arithmetic number, because the mean of its divisors is an integer number (22470175).

Almost surely, 2^2346454656 is an apocalyptic number.

2346454656 is a gapful number since it is divisible by the number (26) 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 2346454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314273600).

2346454656 is an abundant number, since it is smaller than the sum of its proper divisors (6282092544).

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

2346454656 is an equidigital number, since it uses as much as digits as its factorization.

2346454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 854 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 2346454656 is about 48440.2173405529. The cubic root of 2346454656 is about 1328.8339707700.

The spelling of 2346454656 in words is "two billion, three hundred forty-six million, four hundred fifty-four thousand, six hundred fifty-six".