2521332000 has 288 divisors, whose sum is σ = 9763213824. Its totient is φ = 611136000.

The previous prime is 2521331993. The next prime is 2521332001. The reversal of 2521332000 is 2331252.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521332001) 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, 392817 + ... + 399183.

It is an arithmetic number, because the mean of its divisors is an integer number (33900048).

Almost surely, 2^2521332000 is an apocalyptic number.

2521332000 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 2521332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881606912).

2521332000 is an abundant number, since it is smaller than the sum of its proper divisors (7241881824).

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

2521332000 is a wasteful number, since it uses less digits than its factorization.

2521332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2521332000 is about 50212.8668769271. The cubic root of 2521332000 is about 1361.0581442051.

Adding to 2521332000 its reverse (2331252), we get a palindrome (2523663252).

The spelling of 2521332000 in words is "two billion, five hundred twenty-one million, three hundred thirty-two thousand".