2450352564 has 144 divisors (see below), whose sum is σ = 7294734720. Its totient is φ = 685681920.

The previous prime is 2450352563. The next prime is 2450352571. The reversal of 2450352564 is 4652530542.

2450352564 is a `hidden beast` number, since 2 + 45 + 0 + 3 + 52 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450352563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259494 + ... + 268770.

It is an arithmetic number, because the mean of its divisors is an integer number (50657880).

Almost surely, 2^2450352564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2450352564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647367360).

2450352564 is an abundant number, since it is smaller than the sum of its proper divisors (4844382156).

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

2450352564 is a wasteful number, since it uses less digits than its factorization.

2450352564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2450352564 is about 49501.0359891589. The cubic root of 2450352564 is about 1348.1644122884.

The spelling of 2450352564 in words is "two billion, four hundred fifty million, three hundred fifty-two thousand, five hundred sixty-four".