2533552000 has 128 divisors (see below), whose sum is σ = 7199225280. Its totient is φ = 868608000.

The previous prime is 2533551961. The next prime is 2533552013. The reversal of 2533552000 is 2553352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100690 + ... + 123310.

Almost surely, 2^2533552000 is an apocalyptic number.

2533552000 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 2533552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599612640).

2533552000 is an abundant number, since it is smaller than the sum of its proper divisors (4665673280).

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

2533552000 is an equidigital number, since it uses as much as digits as its factorization.

2533552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657 (or 22635 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 2533552000 is about 50334.4017546648. The cubic root of 2533552000 is about 1363.2534563960.

The spelling of 2533552000 in words is "two billion, five hundred thirty-three million, five hundred fifty-two thousand".