2261515795812 has 324 divisors, whose sum is σ = 7558251511356. Its totient is φ = 565049882880.

The previous prime is 2261515795739. The next prime is 2261515795853. The reversal of 2261515795812 is 2185975151622.

It is a happy number.

2261515795812 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 1 + 57 + 9 + 581 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 489784423716 + 1771731372096 = 699846^2 + 1331064^2 .

It is a super-2 number, since 2×2261515795812² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8141862 + ... + 8415042.

Almost surely, 2^{2261515795812} 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 2261515795812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779125755678).

2261515795812 is an abundant number, since it is smaller than the sum of its proper divisors (5296735715544).

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

2261515795812 is a wasteful number, since it uses less digits than its factorization.

2261515795812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273256 (or 273225 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 2261515795812 in words is "two trillion, two hundred sixty-one billion, five hundred fifteen million, seven hundred ninety-five thousand, eight hundred twelve".