2581623952 has 20 divisors (see below), whose sum is σ = 5163248896. Its totient is φ = 1249172640.

The previous prime is 2581623929. The next prime is 2581623953. The reversal of 2581623952 is 2593261852.

2581623952 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 2581623899 and 2581623908.

It is not an unprimeable number, because it can be changed into a prime (2581623953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2601948 + ... + 2602939.

Almost surely, 2^2581623952 is an apocalyptic number.

It is an amenable number.

2581623952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2581623952 is a wasteful number, since it uses less digits than its factorization.

2581623952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204926 (or 5204920 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 2581623952 is about 50809.6836439669. The cubic root of 2581623952 is about 1371.8216752653.

Subtracting 2581623952 from its reverse (2593261852), we obtain a triangular number (11637900 = T₄₈₂₄).

The spelling of 2581623952 in words is "two billion, five hundred eighty-one million, six hundred twenty-three thousand, nine hundred fifty-two".