2564006890 has 16 divisors (see below), whose sum is σ = 4615825032. Its totient is φ = 1025466624.

The previous prime is 2564006843. The next prime is 2564006911. The reversal of 2564006890 is 986004652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2560461201 + 3545689 = 50601^2 + 1883^2 .

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 7 ways as a sum of consecutive naturals, for example, 101182 + ... + 123958.

Almost surely, 2^2564006890 is an apocalyptic number.

2564006890 is a deficient number, since it is larger than the sum of its proper divisors (2051818142).

2564006890 is a wasteful number, since it uses less digits than its factorization.

2564006890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34041.

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2564006890 is about 50636.0236393025. The cubic root of 2564006890 is about 1368.6941025386.

The spelling of 2564006890 in words is "two billion, five hundred sixty-four million, six thousand, eight hundred ninety".