2422666800 has 240 divisors, whose sum is σ = 8712195360. Its totient is φ = 639360000.

The previous prime is 2422666781. The next prime is 2422666817. The reversal of 2422666800 is 86662242.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089690 + ... + 1091910.

It is an arithmetic number, because the mean of its divisors is an integer number (36300814).

Almost surely, 2^2422666800 is an apocalyptic number.

2422666800 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 2422666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356097680).

2422666800 is an abundant number, since it is smaller than the sum of its proper divisors (6289528560).

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

2422666800 is a wasteful number, since it uses less digits than its factorization.

2422666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2422666800 is about 49220.5932511992. The cubic root of 2422666800 is about 1343.0676729135.

The spelling of 2422666800 in words is "two billion, four hundred twenty-two million, six hundred sixty-six thousand, eight hundred".