2922242400 has 864 divisors, whose sum is σ = 13465388160. Its totient is φ = 604800000.

The previous prime is 2922242377. The next prime is 2922242443. The reversal of 2922242400 is 42422292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 11642275 + ... + 11642525.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^2922242400 is an apocalyptic number.

2922242400 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 2922242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

2922242400 is an abundant number, since it is smaller than the sum of its proper divisors (10543145760).

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

2922242400 is a wasteful number, since it uses less digits than its factorization.

2922242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2922242400 is about 54057.7690993626. The cubic root of 2922242400 is about 1429.6796843969.

Adding to 2922242400 its reverse (42422292), we get a palindrome (2964664692).

The spelling of 2922242400 in words is "two billion, nine hundred twenty-two million, two hundred forty-two thousand, four hundred".