2545564890 has 64 divisors (see below), whose sum is σ = 6683627520. Its totient is φ = 615359040.

The previous prime is 2545564877. The next prime is 2545564891. The reversal of 2545564890 is 984655452.

It is not an unprimeable number, because it can be changed into a prime (2545564891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 107727 + ... + 129213.

It is an arithmetic number, because the mean of its divisors is an integer number (104431680).

Almost surely, 2^2545564890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545564890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341813760).

2545564890 is an abundant number, since it is smaller than the sum of its proper divisors (4138062630).

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

2545564890 is a wasteful number, since it uses less digits than its factorization.

2545564890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21867.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 2545564890 is about 50453.5914479832. The cubic root of 2545564890 is about 1365.4046915561.

The spelling of 2545564890 in words is "two billion, five hundred forty-five million, five hundred sixty-four thousand, eight hundred ninety".