2264913936 has 120 divisors (see below), whose sum is σ = 6426128384. Its totient is φ = 744629760.

The previous prime is 2264913929. The next prime is 2264913941. The reversal of 2264913936 is 6393194622.

2264913936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2264913891 and 2264913900.

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, 4955820 + ... + 4956276.

Almost surely, 2^2264913936 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 2264913936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213064192).

2264913936 is an abundant number, since it is smaller than the sum of its proper divisors (4161214448).

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

2264913936 is a wasteful number, since it uses less digits than its factorization.

2264913936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 2264913936 is about 47591.1119433030. Note that the first 3 decimals coincide. The cubic root of 2264913936 is about 1313.2595509983.

It can be divided in two parts, 22649 and 13936, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 2264913936 in words is "two billion, two hundred sixty-four million, nine hundred thirteen thousand, nine hundred thirty-six".