2052267172560 has 240 divisors, whose sum is σ = 7797234070080. Its totient is φ = 497519262720.

The previous prime is 2052267172559. The next prime is 2052267172597. The reversal of 2052267172560 is 652717622502.

2052267172560 is a `hidden beast` number, since 2 + 0 + 5 + 22 + 67 + 1 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4584765 + ... + 5012444.

It is an arithmetic number, because the mean of its divisors is an integer number (32488475292).

Almost surely, 2^{2052267172560} is an apocalyptic number.

2052267172560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052267172560 is an abundant number, since it is smaller than the sum of its proper divisors (5744966897520).

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

2052267172560 is a wasteful number, since it uses less digits than its factorization.

2052267172560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597248 (or 9597230 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2052267172560 in words is "two trillion, fifty-two billion, two hundred sixty-seven million, one hundred seventy-two thousand, five hundred sixty".