2984954169456 has 640 divisors, whose sum is σ = 10799004057600. Its totient is φ = 770193515520.

The previous prime is 2984954169397. The next prime is 2984954169467. The reversal of 2984954169456 is 6549614594892.

2984954169456 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 9 + 5 + 4 + 169 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119323606 + ... + 119348618.

It is an arithmetic number, because the mean of its divisors is an integer number (16873443840).

Almost surely, 2^{2984954169456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984954169456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399502028800).

2984954169456 is an abundant number, since it is smaller than the sum of its proper divisors (7814049888144).

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

2984954169456 is a wasteful number, since it uses less digits than its factorization.

2984954169456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25154 (or 25142 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 2984954169456 in words is "two trillion, nine hundred eighty-four billion, nine hundred fifty-four million, one hundred sixty-nine thousand, four hundred fifty-six".