2252520000 has 210 divisors, whose sum is σ = 8069259198. Its totient is φ = 600576000.

The previous prime is 2252519999. The next prime is 2252520007. The reversal of 2252520000 is 252522.

It can be written as a sum of positive squares in 5 ways, for example, as 242611776 + 2009908224 = 15576^2 + 44832^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2252520007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 356872 + ... + 363128.

Almost surely, 2^2252520000 is an apocalyptic number.

2252520000 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 2252520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034629599).

2252520000 is an abundant number, since it is smaller than the sum of its proper divisors (5816739198).

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

2252520000 is an equidigital number, since it uses as much as digits as its factorization.

2252520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2252520000 is about 47460.7206013562. The cubic root of 2252520000 is about 1310.8597196417.

Adding to 2252520000 its reverse (252522), we get a palindrome (2252772522).

The spelling of 2252520000 in words is "two billion, two hundred fifty-two million, five hundred twenty thousand".