2261206166400 has 576 divisors, whose sum is σ = 8342965837440. Its totient is φ = 582543360000.

The previous prime is 2261206166371. The next prime is 2261206166411. The reversal of 2261206166400 is 46616021622.

2261206166400 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 2 + 0 + 6 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2261206166400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625850994 + ... + 625854606.

It is an arithmetic number, because the mean of its divisors is an integer number (14484315690).

Almost surely, 2^{2261206166400} is an apocalyptic number.

2261206166400 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 2261206166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171482918720).

2261206166400 is an abundant number, since it is smaller than the sum of its proper divisors (6081759671040).

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

2261206166400 is a wasteful number, since it uses less digits than its factorization.

2261206166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2261206166400 in words is "two trillion, two hundred sixty-one billion, two hundred six million, one hundred sixty-six thousand, four hundred".