2533864320 has 576 divisors, whose sum is σ = 10046041200. Its totient is φ = 586579968.

The previous prime is 2533864283. The next prime is 2533864351. The reversal of 2533864320 is 234683352.

It is a happy number.

2533864320 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18495292 + ... + 18495428.

Almost surely, 2^2533864320 is an apocalyptic number.

2533864320 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 2533864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023020600).

2533864320 is an abundant number, since it is smaller than the sum of its proper divisors (7512176880).

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

2533864320 is a wasteful number, since it uses less digits than its factorization.

2533864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2533864320 is about 50337.5041097590. The cubic root of 2533864320 is about 1363.3094718011.

The spelling of 2533864320 in words is "two billion, five hundred thirty-three million, eight hundred sixty-four thousand, three hundred twenty".