2564205163620 has 192 divisors, whose sum is σ = 7924115485440. Its totient is φ = 616825110528.

The previous prime is 2564205163591. The next prime is 2564205163643. The reversal of 2564205163620 is 263615024652.

It is a super-2 number, since 2×2564205163620² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2021536 + ... + 3035624.

It is an arithmetic number, because the mean of its divisors is an integer number (41271434820).

Almost surely, 2^{2564205163620} is an apocalyptic number.

2564205163620 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 2564205163620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962057742720).

2564205163620 is an abundant number, since it is smaller than the sum of its proper divisors (5359910321820).

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

2564205163620 is a wasteful number, since it uses less digits than its factorization.

2564205163620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014222 (or 1014220 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2564205163620 in words is "two trillion, five hundred sixty-four billion, two hundred five million, one hundred sixty-three thousand, six hundred twenty".