2261308344008 has 64 divisors (see below), whose sum is σ = 5104143158400. Its totient is φ = 917504616960.

The previous prime is 2261308344007. The next prime is 2261308344017. The reversal of 2261308344008 is 8004438031622.

It is a super-2 number, since 2×2261308344008² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261308344007) 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, 858266 + ... + 2293302.

It is an arithmetic number, because the mean of its divisors is an integer number (79752236850).

Almost surely, 2^{2261308344008} is an apocalyptic number.

2261308344008 is a gapful number since it is divisible by the number (28) 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 2261308344008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552071579200).

2261308344008 is an abundant number, since it is smaller than the sum of its proper divisors (2842834814392).

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

2261308344008 is a wasteful number, since it uses less digits than its factorization.

2261308344008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436550 (or 1436546 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 2261308344008 in words is "two trillion, two hundred sixty-one billion, three hundred eight million, three hundred forty-four thousand, eight".