2562163765272 has 144 divisors (see below), whose sum is σ = 7396155215280. Its totient is φ = 801092592000.

The previous prime is 2562163765267. The next prime is 2562163765327. The reversal of 2562163765272 is 2725673612652.

2562163765272 is a `hidden beast` number, since 2 + 5 + 6 + 216 + 376 + 52 + 7 + 2 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2137197 + ... + 3113187.

It is an arithmetic number, because the mean of its divisors is an integer number (51362188995).

Almost surely, 2^{2562163765272} 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 2562163765272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698077607640).

2562163765272 is an abundant number, since it is smaller than the sum of its proper divisors (4833991450008).

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

2562163765272 is a wasteful number, since it uses less digits than its factorization.

2562163765272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976142 (or 976116 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 2562163765272 in words is "two trillion, five hundred sixty-two billion, one hundred sixty-three million, seven hundred sixty-five thousand, two hundred seventy-two".