2261684768 has 54 divisors (see below), whose sum is σ = 5183978373. Its totient is φ = 968486400.

The previous prime is 2261684753. The next prime is 2261684771. The reversal of 2261684768 is 8674861622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1223040784 + 1038643984 = 34972^2 + 32228^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33628.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882568 + ... + 1883768.

Almost surely, 2^2261684768 is an apocalyptic number.

2261684768 is a gapful number since it is divisible by the number (28) 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 2261684768

2261684768 is an abundant number, since it is smaller than the sum of its proper divisors (2922293605).

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

2261684768 is an frugal number, since it uses more digits than its factorization.

2261684768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1210 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 2261684768 is about 47557.1736754824. The cubic root of 2261684768 is about 1312.6351339381.

Multiplying 2261684768 by its sum of digits (50), we get a square (113084238400 = 336280²).

The spelling of 2261684768 in words is "two billion, two hundred sixty-one million, six hundred eighty-four thousand, seven hundred sixty-eight".