2261061746600 has 96 divisors (see below), whose sum is σ = 5320545177600. Its totient is φ = 893546438400.

The previous prime is 2261061746579. The next prime is 2261061746621. The reversal of 2261061746600 is 66471601622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2261061746579) and next prime (2261061746621).

It is a super-2 number, since 2×2261061746600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884370 + ... + 6256830.

It is an arithmetic number, because the mean of its divisors is an integer number (55422345600).

Almost surely, 2^{2261061746600} is an apocalyptic number.

2261061746600 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 2261061746600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660272588800).

2261061746600 is an abundant number, since it is smaller than the sum of its proper divisors (3059483431000).

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

2261061746600 is a wasteful number, since it uses less digits than its factorization.

2261061746600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372843 (or 372834 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 2261061746600 in words is "two trillion, two hundred sixty-one billion, sixty-one million, seven hundred forty-six thousand, six hundred".