2945646000 has 960 divisors, whose sum is σ = 12674188800. Its totient is φ = 653184000.

The previous prime is 2945645999. The next prime is 2945646037. The reversal of 2945646000 is 6465492.

2945646000 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 646 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101573986 + ... + 101574014.

It is an arithmetic number, because the mean of its divisors is an integer number (13202280).

Almost surely, 2^2945646000 is an apocalyptic number.

2945646000 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 2945646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

2945646000 is an abundant number, since it is smaller than the sum of its proper divisors (9728542800).

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

2945646000 is a wasteful number, since it uses less digits than its factorization.

2945646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2945646000 is about 54273.8058367017. The cubic root of 2945646000 is about 1433.4862044751.

The spelling of 2945646000 in words is "two billion, nine hundred forty-five million, six hundred forty-six thousand".