2583122130 has 64 divisors (see below), whose sum is σ = 6892819200. Its totient is φ = 688383360.

The previous prime is 2583122041. The next prime is 2583122141. The reversal of 2583122130 is 312213852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2583122094 and 2583122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730206 + ... + 733734.

It is an arithmetic number, because the mean of its divisors is an integer number (107700300).

Almost surely, 2^2583122130 is an apocalyptic number.

2583122130 is an abundant number, since it is smaller than the sum of its proper divisors (4309697070).

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

2583122130 is a wasteful number, since it uses less digits than its factorization.

2583122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2583122130 is about 50824.4245417496. The cubic root of 2583122130 is about 1372.0869909030.

Adding to 2583122130 its reverse (312213852), we get a palindrome (2895335982).

It can be divided in two parts, 25831 and 22130, that added together give a square (47961 = 219²).

The spelling of 2583122130 in words is "two billion, five hundred eighty-three million, one hundred twenty-two thousand, one hundred thirty".