2562493406841 has 9 divisors (see below), whose sum is σ = 3701386302159. Its totient is φ = 1708325736336.

The previous prime is 2562493406833. The next prime is 2562493406843. The reversal of 2562493406841 is 1486043942652.

The square root of 2562493406841 is 1600779.

It is a perfect power (a square), and thus also a powerful number.

2562493406841 is a `hidden beast` number, since 2 + 5 + 624 + 9 + 3 + 4 + 0 + 6 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40419092025 + 2522074314816 = 201045^2 + 1588104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2562493406841 - 2³ = 2562493406833 is a prime.

It is a super-3 number, since 3×2562493406841³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2562493406843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4535541 + ... + 5069133.

Almost surely, 2^{2562493406841} is an apocalyptic number.

2562493406841 is the 1600779-th square number.

2562493406841 is the 800390-th centered octagonal number.

It is an amenable number.

2562493406841 is a deficient number, since it is larger than the sum of its proper divisors (1138892895318).

2562493406841 is an frugal number, since it uses more digits than its factorization.

2562493406841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067192 (or 533596 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2562493406841 in words is "two trillion, five hundred sixty-two billion, four hundred ninety-three million, four hundred six thousand, eight hundred forty-one".