2688422400 has 300 divisors, whose sum is σ = 9953886162. Its totient is φ = 716636160.

The previous prime is 2688422383. The next prime is 2688422489. The reversal of 2688422400 is 42248862.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2110116096 + 578306304 = 45936^2 + 24048^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1035504 + ... + 1038096.

Almost surely, 2^2688422400 is an apocalyptic number.

2688422400 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 2688422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976943081).

2688422400 is an abundant number, since it is smaller than the sum of its proper divisors (7265463762).

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

2688422400 is an equidigital number, since it uses as much as digits as its factorization.

2688422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2688422400 is about 51849.9990356798. Note that the first 3 decimals coincide. The cubic root of 2688422400 is about 1390.4834851744.

It can be divided in two parts, 26884 and 22400, that added together give a square (49284 = 222²).

The spelling of 2688422400 in words is "two billion, six hundred eighty-eight million, four hundred twenty-two thousand, four hundred".