2894622400 has 84 divisors (see below), whose sum is σ = 7288394872. Its totient is φ = 1130895360.

The previous prime is 2894622397. The next prime is 2894622457. The reversal of 2894622400 is 42264982.

It is a self number, because there is not a number n which added to its sum of digits gives 2894622400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47764 + ... + 89836.

Almost surely, 2^2894622400 is an apocalyptic number.

2894622400 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 2894622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644197436).

2894622400 is an abundant number, since it is smaller than the sum of its proper divisors (4393772472).

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

2894622400 is a wasteful number, since it uses less digits than its factorization.

2894622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42138 (or 42123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2894622400 is about 53801.6951405808. The cubic root of 2894622400 is about 1425.1611431598.

The spelling of 2894622400 in words is "two billion, eight hundred ninety-four million, six hundred twenty-two thousand, four hundred".