2261265600000 has 960 divisors, whose sum is σ = 8308785703680. Its totient is φ = 541900800000.

The previous prime is 2261265599921. The next prime is 2261265600007. The reversal of 2261265600000 is 65621622.

2261265600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2261265600000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261265600007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5966399811 + ... + 5966400189.

It is an arithmetic number, because the mean of its divisors is an integer number (8654985108).

Almost surely, 2^{2261265600000} is an apocalyptic number.

2261265600000 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 2261265600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154392851840).

2261265600000 is an abundant number, since it is smaller than the sum of its proper divisors (6047520103680).

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

2261265600000 is an equidigital number, since it uses as much as digits as its factorization.

2261265600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2261265600000 in words is "two trillion, two hundred sixty-one billion, two hundred sixty-five million, six hundred thousand".