2352564000 has 480 divisors, whose sum is σ = 8861828976. Its totient is φ = 611020800.

The previous prime is 2352563987. The next prime is 2352564029. The reversal of 2352564000 is 4652532.

2352564000 is a `hidden beast` number, since 2 + 3 + 5 + 256 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 258952464 + 2093611536 = 16092^2 + 45756^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17171932 + ... + 17172068.

Almost surely, 2^2352564000 is an apocalyptic number.

2352564000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430914488).

2352564000 is an abundant number, since it is smaller than the sum of its proper divisors (6509264976).

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

2352564000 is a wasteful number, since it uses less digits than its factorization.

2352564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2352564000 is about 48503.2370053793. The cubic root of 2352564000 is about 1329.9862436627.

The spelling of 2352564000 in words is "two billion, three hundred fifty-two million, five hundred sixty-four thousand".