2564209313292 has 48 divisors (see below), whose sum is σ = 6529799808000. Its totient is φ = 776709130560.

The previous prime is 2564209313273. The next prime is 2564209313297. The reversal of 2564209313292 is 2923139024652.

It is not an unprimeable number, because it can be changed into a prime (2564209313297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3732067 + ... + 4365402.

It is an arithmetic number, because the mean of its divisors is an integer number (136037496000).

Almost surely, 2^{2564209313292} is an apocalyptic number.

2564209313292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564209313292 is an abundant number, since it is smaller than the sum of its proper divisors (3965590494708).

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

2564209313292 is a wasteful number, since it uses less digits than its factorization.

2564209313292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099886 (or 8099884 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 2564209313292 in words is "two trillion, five hundred sixty-four billion, two hundred nine million, three hundred thirteen thousand, two hundred ninety-two".