2583161364 has 96 divisors (see below), whose sum is σ = 7195023360. Its totient is φ = 705877632.

The previous prime is 2583161363. The next prime is 2583161387. The reversal of 2583161364 is 4631613852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583161363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176329 + ... + 190415.

It is an arithmetic number, because the mean of its divisors is an integer number (74948160).

Almost surely, 2^2583161364 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 2583161364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597511680).

2583161364 is an abundant number, since it is smaller than the sum of its proper divisors (4611861996).

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

2583161364 is a wasteful number, since it uses less digits than its factorization.

2583161364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14195 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2583161364 is about 50824.8105161249. The cubic root of 2583161364 is about 1372.0939375598.

The spelling of 2583161364 in words is "two billion, five hundred eighty-three million, one hundred sixty-one thousand, three hundred sixty-four".