2964448034128 has 120 divisors (see below), whose sum is σ = 6829333430400. Its totient is φ = 1242492975360.

The previous prime is 2964448034101. The next prime is 2964448034129. The reversal of 2964448034128 is 8214308444692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964448034129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12807973 + ... + 13037371.

It is an arithmetic number, because the mean of its divisors is an integer number (56911111920).

Almost surely, 2^{2964448034128} is an apocalyptic number.

2964448034128 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 2964448034128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414666715200).

2964448034128 is an abundant number, since it is smaller than the sum of its proper divisors (3864885396272).

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

2964448034128 is a wasteful number, since it uses less digits than its factorization.

2964448034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229785 (or 229772 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 2964448034128 in words is "two trillion, nine hundred sixty-four billion, four hundred forty-eight million, thirty-four thousand, one hundred twenty-eight".