2261461104 has 240 divisors, whose sum is σ = 7412233920. Its totient is φ = 630374400.

The previous prime is 2261461051. The next prime is 2261461133. The reversal of 2261461104 is 4011641622.

It is a super-2 number, since 2×2261461104² = 10228412649809797632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9875262 + ... + 9875490.

It is an arithmetic number, because the mean of its divisors is an integer number (30884308).

Almost surely, 2^2261461104 is an apocalyptic number.

2261461104 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 2261461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706116960).

2261461104 is an abundant number, since it is smaller than the sum of its proper divisors (5150772816).

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

2261461104 is a wasteful number, since it uses less digits than its factorization.

2261461104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2261461104 is about 47554.8220898785. The cubic root of 2261461104 is about 1312.5918625227.

The spelling of 2261461104 in words is "two billion, two hundred sixty-one million, four hundred sixty-one thousand, one hundred four".