2845152000 has 576 divisors, whose sum is σ = 10905148800. Its totient is φ = 729907200.

The previous prime is 2845151993. The next prime is 2845152047. The reversal of 2845152000 is 2515482.

It is a happy number.

2845152000 is a `hidden beast` number, since 2 + 8 + 451 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31967956 + ... + 31968044.

It is an arithmetic number, because the mean of its divisors is an integer number (18932550).

Almost surely, 2^2845152000 is an apocalyptic number.

2845152000 is a gapful number since it is divisible by the number (20) 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 2845152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452574400).

2845152000 is an abundant number, since it is smaller than the sum of its proper divisors (8059996800).

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

2845152000 is an equidigital number, since it uses as much as digits as its factorization.

2845152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2845152000 is about 53339.9662542075. The cubic root of 2845152000 is about 1416.9955653120.

Adding to 2845152000 its reverse (2515482), we get a palindrome (2847667482).

The spelling of 2845152000 in words is "two billion, eight hundred forty-five million, one hundred fifty-two thousand".