2564719059 has 32 divisors (see below), whose sum is σ = 4176769536. Its totient is φ = 1366433280.

The previous prime is 2564719057. The next prime is 2564719067. The reversal of 2564719059 is 9509174652.

2564719059 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564719059 - 2¹ = 2564719057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564718999 and 2564719017.

It is not an unprimeable number, because it can be changed into a prime (2564719051) 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, 4629 + ... + 71769.

It is an arithmetic number, because the mean of its divisors is an integer number (130524048).

Almost surely, 2^2564719059 is an apocalyptic number.

2564719059 is a deficient number, since it is larger than the sum of its proper divisors (1612050477).

2564719059 is a wasteful number, since it uses less digits than its factorization.

2564719059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67275.

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 2564719059 is about 50643.0553876837. The cubic root of 2564719059 is about 1368.8208119325.

The spelling of 2564719059 in words is "two billion, five hundred sixty-four million, seven hundred nineteen thousand, fifty-nine".