2984736964608 has 1440 divisors, whose sum is σ = 11245005273600. Its totient is φ = 763562557440.

The previous prime is 2984736964543. The next prime is 2984736964631. The reversal of 2984736964608 is 8064696374892.

2984736964608 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 7 + 3 + 6 + 9 + 6 + 4 + 608 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50588762083 + ... + 50588762141.

It is an arithmetic number, because the mean of its divisors is an integer number (7809031440).

Almost surely, 2^{2984736964608} is an apocalyptic number.

2984736964608 is a gapful number since it is divisible by the number (28) 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 2984736964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622502636800).

2984736964608 is an abundant number, since it is smaller than the sum of its proper divisors (8260268308992).

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

2984736964608 is an equidigital number, since it uses as much as digits as its factorization.

2984736964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 2984736964608 in words is "two trillion, nine hundred eighty-four billion, seven hundred thirty-six million, nine hundred sixty-four thousand, six hundred eight".