2894645448000 has 672 divisors, whose sum is σ = 10634928175872. Its totient is φ = 751145472000.

The previous prime is 2894645447959. The next prime is 2894645448007. The reversal of 2894645448000 is 8445464982.

It is a happy number.

2894645448000 is a `hidden beast` number, since 2 + 8 + 94 + 6 + 4 + 544 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2894645448007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907126405 + ... + 907129595.

It is an arithmetic number, because the mean of its divisors is an integer number (15825785976).

Almost surely, 2^{2894645448000} is an apocalyptic number.

2894645448000 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 2894645448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317464087936).

2894645448000 is an abundant number, since it is smaller than the sum of its proper divisors (7740282727872).

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

2894645448000 is a wasteful number, since it uses less digits than its factorization.

2894645448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2894645448000 in words is "two trillion, eight hundred ninety-four billion, six hundred forty-five million, four hundred forty-eight thousand".