2580953823 has 36 divisors (see below), whose sum is σ = 4368461760. Its totient is φ = 1464031296.

The previous prime is 2580953707. The next prime is 2580953849. The reversal of 2580953823 is 3283590852.

It is not a de Polignac number, because 2580953823 - 2¹⁴ = 2580937439 is a prime.

It is a super-2 number, since 2×2580953823² = 13322645272916630658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580953623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39058 + ... + 81776.

It is an arithmetic number, because the mean of its divisors is an integer number (121346160).

Almost surely, 2^2580953823 is an apocalyptic number.

2580953823 is a deficient number, since it is larger than the sum of its proper divisors (1787507937).

2580953823 is a wasteful number, since it uses less digits than its factorization.

2580953823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42876 (or 42866 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2580953823 is about 50803.0887151559. The cubic root of 2580953823 is about 1371.7029674212.

The spelling of 2580953823 in words is "two billion, five hundred eighty million, nine hundred fifty-three thousand, eight hundred twenty-three".