2564551410 has 64 divisors (see below), whose sum is σ = 6486307200. Its totient is φ = 647142912.

The previous prime is 2564551399. The next prime is 2564551417. The reversal of 2564551410 is 141554652.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2564551417) 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, 630102 + ... + 634158.

It is an arithmetic number, because the mean of its divisors is an integer number (101348550).

Almost surely, 2^2564551410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564551410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243153600).

2564551410 is an abundant number, since it is smaller than the sum of its proper divisors (3921755790).

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

2564551410 is a wasteful number, since it uses less digits than its factorization.

2564551410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195.

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2564551410 is about 50641.4001583684. The cubic root of 2564551410 is about 1368.7909858664.

The spelling of 2564551410 in words is "two billion, five hundred sixty-four million, five hundred fifty-one thousand, four hundred ten".