2510222000 has 320 divisors, whose sum is σ = 7292533248. Its totient is φ = 823680000.

The previous prime is 2510221997. The next prime is 2510222009. The reversal of 2510222000 is 2220152.

It is not an unprimeable number, because it can be changed into a prime (2510222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19161935 + ... + 19162065.

Almost surely, 2^2510222000 is an apocalyptic number.

2510222000 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 2510222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646266624).

2510222000 is an abundant number, since it is smaller than the sum of its proper divisors (4782311248).

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

2510222000 is a wasteful number, since it uses less digits than its factorization.

2510222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2510222000 is about 50102.1157237895. The cubic root of 2510222000 is about 1359.0560780001.

Adding to 2510222000 its reverse (2220152), we get a palindrome (2512442152).

The spelling of 2510222000 in words is "two billion, five hundred ten million, two hundred twenty-two thousand".