2064924340128 has 480 divisors, whose sum is σ = 6839237534976. Its totient is φ = 606414200832.

The previous prime is 2064924340123. The next prime is 2064924340159. The reversal of 2064924340128 is 8210434294602.

2064924340128 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 92 + 434 + 0 + 128 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2064924340121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389826376 + ... + 389831672.

Almost surely, 2^{2064924340128} 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 2064924340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419618767488).

2064924340128 is an abundant number, since it is smaller than the sum of its proper divisors (4774313194848).

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

2064924340128 is a wasteful number, since it uses less digits than its factorization.

2064924340128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 206492 and 4340128, that added together give a triangular number (4546620 = T₃₀₁₅).

The spelling of 2064924340128 in words is "two trillion, sixty-four billion, nine hundred twenty-four million, three hundred forty thousand, one hundred twenty-eight".