2533986000 has 1080 divisors, whose sum is σ = 11803969944. Its totient is φ = 503193600.

The previous prime is 2533985963. The next prime is 2533986019. The reversal of 2533986000 is 6893352.

It can be written as a sum of positive squares in 12 ways, for example, as 2268426384 + 265559616 = 47628^2 + 16296^2 .

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 215 ways as a sum of consecutive naturals, for example, 149057992 + ... + 149058008.

Almost surely, 2^2533986000 is an apocalyptic number.

2533986000 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 2533986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901984972).

2533986000 is an abundant number, since it is smaller than the sum of its proper divisors (9269983944).

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

2533986000 is a wasteful number, since it uses less digits than its factorization.

2533986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2533986000 is about 50338.7127368192. The cubic root of 2533986000 is about 1363.3312941799.

The spelling of 2533986000 in words is "two billion, five hundred thirty-three million, nine hundred eighty-six thousand".