2542561216 has 28 divisors (see below), whose sum is σ = 5433503992. Its totient is φ = 1173489408.

The previous prime is 2542561159. The next prime is 2542561223. The reversal of 2542561216 is 6121652452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1527150 + ... + 1528813.

It is an arithmetic number, because the mean of its divisors is an integer number (194053714).

Almost surely, 2^2542561216 is an apocalyptic number.

2542561216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2542561216 is an abundant number, since it is smaller than the sum of its proper divisors (2890942776).

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

2542561216 is a wasteful number, since it uses less digits than its factorization.

2542561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055988 (or 3055978 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 2542561216 is about 50423.8159603178. The cubic root of 2542561216 is about 1364.8674375597.

The spelling of 2542561216 in words is "two billion, five hundred forty-two million, five hundred sixty-one thousand, two hundred sixteen".