2261500503304 has 192 divisors, whose sum is σ = 5153775120000. Its totient is φ = 928820511360.

The previous prime is 2261500503293. The next prime is 2261500503331. The reversal of 2261500503304 is 4033050051622.

It is a happy number.

It is a super-2 number, since 2×2261500503304² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6162126529 + ... + 6162126895.

It is an arithmetic number, because the mean of its divisors is an integer number (26842578750).

Almost surely, 2^{2261500503304} 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 2261500503304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576887560000).

2261500503304 is an abundant number, since it is smaller than the sum of its proper divisors (2892274616696).

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

2261500503304 is an equidigital number, since it uses as much as digits as its factorization.

2261500503304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 2261500503304 its reverse (4033050051622), we get a palindrome (6294550554926).

The spelling of 2261500503304 in words is "two trillion, two hundred sixty-one billion, five hundred million, five hundred three thousand, three hundred four".