2645175456 has 288 divisors, whose sum is σ = 9479223936. Its totient is φ = 679680000.

The previous prime is 2645175443. The next prime is 2645175457. The reversal of 2645175456 is 6545715462.

2645175456 is a `hidden beast` number, since 26 + 4 + 5 + 175 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2645175457) 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, 2239186 + ... + 2240366.

It is an arithmetic number, because the mean of its divisors is an integer number (32913972).

Almost surely, 2^2645175456 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 2645175456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739611968).

2645175456 is an abundant number, since it is smaller than the sum of its proper divisors (6834048480).

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

2645175456 is a wasteful number, since it uses less digits than its factorization.

2645175456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2645175456 is about 51431.2692435254. The cubic root of 2645175456 is about 1382.9872027149.

The spelling of 2645175456 in words is "two billion, six hundred forty-five million, one hundred seventy-five thousand, four hundred fifty-six".