2664446400 has 1008 divisors, whose sum is σ = 12381707520. Its totient is φ = 547430400.

The previous prime is 2664446387. The next prime is 2664446443. The reversal of 2664446400 is 46444662.

It is a happy number.

2664446400 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 29937556 + ... + 29937644.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^2664446400 is an apocalyptic number.

2664446400 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 2664446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190853760).

2664446400 is an abundant number, since it is smaller than the sum of its proper divisors (9717261120).

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

2664446400 is a wasteful number, since it uses less digits than its factorization.

2664446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2664446400 is about 51618.2758332744. The cubic root of 2664446400 is about 1386.3375801085.

The spelling of 2664446400 in words is "two billion, six hundred sixty-four million, four hundred forty-six thousand, four hundred".