2261430551536 has 80 divisors (see below), whose sum is σ = 4782637641600. Its totient is φ = 1029587779584.

The previous prime is 2261430551531. The next prime is 2261430551587. The reversal of 2261430551536 is 6351550341622.

It is a super-2 number, since 2×2261430551536² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261430551492 and 2261430551501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261430551531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18161040 + ... + 18285136.

It is an arithmetic number, because the mean of its divisors is an integer number (59782970520).

Almost surely, 2^{2261430551536} is an apocalyptic number.

2261430551536 is a gapful number since it is divisible by the number (26) 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 2261430551536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391318820800).

2261430551536 is an abundant number, since it is smaller than the sum of its proper divisors (2521207090064).

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

2261430551536 is a wasteful number, since it uses less digits than its factorization.

2261430551536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125306 (or 125300 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 2261430551536 in words is "two trillion, two hundred sixty-one billion, four hundred thirty million, five hundred fifty-one thousand, five hundred thirty-six".