2261450897664 has 432 divisors, whose sum is σ = 7803472824000. Its totient is φ = 576111771648.

The previous prime is 2261450897627. The next prime is 2261450897669. The reversal of 2261450897664 is 4667980541622.

It is a happy number.

It is a super-2 number, since 2×2261450897664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261450897598 and 2261450897607.

It is not an unprimeable number, because it can be changed into a prime (2261450897669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12062112 + ... + 12248160.

It is an arithmetic number, because the mean of its divisors is an integer number (18063594500).

Almost surely, 2^{2261450897664} is an apocalyptic number.

2261450897664 is a gapful number since it is divisible by the number (24) 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 2261450897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901736412000).

2261450897664 is an abundant number, since it is smaller than the sum of its proper divisors (5542021926336).

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

2261450897664 is a wasteful number, since it uses less digits than its factorization.

2261450897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186118 (or 186097 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2261450897664 in words is "two trillion, two hundred sixty-one billion, four hundred fifty million, eight hundred ninety-seven thousand, six hundred sixty-four".