2064951232344 has 512 divisors, whose sum is σ = 7765196544000. Its totient is φ = 495086929920.

The previous prime is 2064951232339. The next prime is 2064951232423. The reversal of 2064951232344 is 4432321594602.

2064951232344 is a `hidden beast` number, since 2 + 0 + 6 + 495 + 123 + 2 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2064951232344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26122672 + ... + 26201600.

It is an arithmetic number, because the mean of its divisors is an integer number (15166399500).

Almost surely, 2^{2064951232344} is an apocalyptic number.

2064951232344 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 2064951232344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882598272000).

2064951232344 is an abundant number, since it is smaller than the sum of its proper divisors (5700245311656).

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

2064951232344 is a wasteful number, since it uses less digits than its factorization.

2064951232344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78997 (or 78965 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2064951232344 in words is "two trillion, sixty-four billion, nine hundred fifty-one million, two hundred thirty-two thousand, three hundred forty-four".