2922264000 has 448 divisors, whose sum is σ = 10917204480. Its totient is φ = 765158400.

The previous prime is 2922263999. The next prime is 2922264043. The reversal of 2922264000 is 4622292.

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

It is a congruent number.

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, 17927919 + ... + 17928081.

It is an arithmetic number, because the mean of its divisors is an integer number (24368760).

Almost surely, 2^2922264000 is an apocalyptic number.

2922264000 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 2922264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458602240).

2922264000 is an abundant number, since it is smaller than the sum of its proper divisors (7994940480).

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

2922264000 is a wasteful number, since it uses less digits than its factorization.

2922264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2922264000 is about 54057.9688852624. The cubic root of 2922264000 is about 1429.6832069207.

Adding to 2922264000 its reverse (4622292), we get a palindrome (2926886292).

The spelling of 2922264000 in words is "two billion, nine hundred twenty-two million, two hundred sixty-four thousand".