2052960344640 has 448 divisors, whose sum is σ = 7530051813120. Its totient is φ = 532653262848.

The previous prime is 2052960344599. The next prime is 2052960344641. The reversal of 2052960344640 is 464430692502.

2052960344640 is a `hidden beast` number, since 2 + 0 + 529 + 60 + 3 + 4 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2052960344641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25854439 + ... + 25933721.

Almost surely, 2^{2052960344640} is an apocalyptic number.

2052960344640 is a gapful number since it is divisible by the number (20) 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 2052960344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765025906560).

2052960344640 is an abundant number, since it is smaller than the sum of its proper divisors (5477091468480).

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

2052960344640 is an frugal number, since it uses more digits than its factorization.

2052960344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79358 (or 79330 counting only the distinct ones).

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

The spelling of 2052960344640 in words is "two trillion, fifty-two billion, nine hundred sixty million, three hundred forty-four thousand, six hundred forty".