2261504260 has 48 divisors (see below), whose sum is σ = 5006232000. Its totient is φ = 855771264.

The previous prime is 2261504239. The next prime is 2261504263. The reversal of 2261504260 is 624051622.

It is a super-2 number, since 2×2261504260² = 10228803035996295200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261504263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 289891 + ... + 297589.

It is an arithmetic number, because the mean of its divisors is an integer number (104296500).

Almost surely, 2^2261504260 is an apocalyptic number.

2261504260 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 2261504260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503116000).

2261504260 is an abundant number, since it is smaller than the sum of its proper divisors (2744727740).

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

2261504260 is a wasteful number, since it uses less digits than its factorization.

2261504260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2261504260 is about 47555.2758377028. The cubic root of 2261504260 is about 1312.6002119705.

Adding to 2261504260 its reverse (624051622), we get a palindrome (2885555882).

It can be divided in two parts, 2261 and 504260, that added together give a triangular number (506521 = T₁₀₀₆).

The spelling of 2261504260 in words is "two billion, two hundred sixty-one million, five hundred four thousand, two hundred sixty".