2583147340 has 48 divisors (see below), whose sum is σ = 5517570240. Its totient is φ = 1015649280.

The previous prime is 2583147283. The next prime is 2583147373. The reversal of 2583147340 is 437413852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2583147340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451216 + ... + 456904.

It is an arithmetic number, because the mean of its divisors is an integer number (114949380).

Almost surely, 2^2583147340 is an apocalyptic number.

2583147340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583147340 is an abundant number, since it is smaller than the sum of its proper divisors (2934422900).

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

2583147340 is a wasteful number, since it uses less digits than its factorization.

2583147340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2583147340 is about 50824.6725518227. The cubic root of 2583147340 is about 1372.0914545196.

The spelling of 2583147340 in words is "two billion, five hundred eighty-three million, one hundred forty-seven thousand, three hundred forty".