2984466622464 has 576 divisors, whose sum is σ = 9819225561600. Its totient is φ = 901420793856.

The previous prime is 2984466622447. The next prime is 2984466622507. The reversal of 2984466622464 is 4642266644892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

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, 217472307 + ... + 217486029.

It is an arithmetic number, because the mean of its divisors is an integer number (17047266600).

Almost surely, 2^{2984466622464} is an apocalyptic number.

2984466622464 is a gapful number since it is divisible by the number (24) 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 2984466622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909612780800).

2984466622464 is an abundant number, since it is smaller than the sum of its proper divisors (6834758939136).

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

2984466622464 is a wasteful number, since it uses less digits than its factorization.

2984466622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13802 (or 13770 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 2984466622464 in words is "two trillion, nine hundred eighty-four billion, four hundred sixty-six million, six hundred twenty-two thousand, four hundred sixty-four".