2564642550 has 96 divisors (see below), whose sum is σ = 6733140480. Its totient is φ = 644918400.

The previous prime is 2564642533. The next prime is 2564642551. The reversal of 2564642550 is 552464652.

It is a junction number, because it is equal to n+sod(n) for n = 2564642499 and 2564642508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564642551) 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 47 ways as a sum of consecutive naturals, for example, 180195 + ... + 193905.

It is an arithmetic number, because the mean of its divisors is an integer number (70136880).

Almost surely, 2^2564642550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564642550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366570240).

2564642550 is an abundant number, since it is smaller than the sum of its proper divisors (4168497930).

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

2564642550 is a wasteful number, since it uses less digits than its factorization.

2564642550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 2564642550 is about 50642.3000070100. The cubic root of 2564642550 is about 1368.8072005453.

The spelling of 2564642550 in words is "two billion, five hundred sixty-four million, six hundred forty-two thousand, five hundred fifty".