2668442400 has 864 divisors, whose sum is σ = 11322400320. Its totient is φ = 603832320.

The previous prime is 2668442389. The next prime is 2668442429. The reversal of 2668442400 is 42448662.

It is a happy number.

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

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 143 ways as a sum of consecutive naturals, for example, 62056779 + ... + 62056821.

It is an arithmetic number, because the mean of its divisors is an integer number (13104630).

Almost surely, 2^2668442400 is an apocalyptic number.

2668442400 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 2668442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661200160).

2668442400 is an abundant number, since it is smaller than the sum of its proper divisors (8653957920).

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

2668442400 is a wasteful number, since it uses less digits than its factorization.

2668442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2668442400 is about 51656.9685521712. The cubic root of 2668442400 is about 1387.0302865855.

The spelling of 2668442400 in words is "two billion, six hundred sixty-eight million, four hundred forty-two thousand, four hundred".