2261564768 has 48 divisors (see below), whose sum is σ = 4633886880. Its totient is φ = 1085177856.

The previous prime is 2261564761. The next prime is 2261564777. The reversal of 2261564768 is 8674651622.

It is a super-2 number, since 2×2261564768² = 10229350399717787648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261564761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147680 + ... + 162272.

It is an arithmetic number, because the mean of its divisors is an integer number (96539310).

Almost surely, 2^2261564768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316943440).

2261564768 is an abundant number, since it is smaller than the sum of its proper divisors (2372322112).

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

2261564768 is a wasteful number, since it uses less digits than its factorization.

2261564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14791 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 2261564768 is about 47555.9120194325. The cubic root of 2261564768 is about 1312.6119183535.

The spelling of 2261564768 in words is "two billion, two hundred sixty-one million, five hundred sixty-four thousand, seven hundred sixty-eight".