2564206320 has 80 divisors (see below), whose sum is σ = 8560514592. Its totient is φ = 631188480.

The previous prime is 2564206319. The next prime is 2564206331. The reversal of 2564206320 is 236024652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 407811 + ... + 414050.

Almost surely, 2^2564206320 is an apocalyptic number.

2564206320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564206320 is an abundant number, since it is smaller than the sum of its proper divisors (5996308272).

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

2564206320 is a wasteful number, since it uses less digits than its factorization.

2564206320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821890 (or 821884 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2564206320 is about 50637.9928512179. The cubic root of 2564206320 is about 1368.7295875691.

The spelling of 2564206320 in words is "two billion, five hundred sixty-four million, two hundred six thousand, three hundred twenty".