2510226432 has 264 divisors, whose sum is σ = 8369053056. Its totient is φ = 709853184.

The previous prime is 2510226421. The next prime is 2510226469. The reversal of 2510226432 is 2346220152.

It is a happy number.

2510226432 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 226 + 432 = 666.

It is a super-2 number, since 2×2510226432² = 12602473479822901248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2510226396 and 2510226405.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10773388 + ... + 10773620.

Almost surely, 2^2510226432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2510226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184526528).

2510226432 is an abundant number, since it is smaller than the sum of its proper divisors (5858826624).

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

2510226432 is a wasteful number, since it uses less digits than its factorization.

2510226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2510226432 is about 50102.1599534391. The cubic root of 2510226432 is about 1359.0568778408.

Adding to 2510226432 its reverse (2346220152), we get a palindrome (4856446584).

The spelling of 2510226432 in words is "two billion, five hundred ten million, two hundred twenty-six thousand, four hundred thirty-two".