2263375296 has 336 divisors, whose sum is σ = 8265566400. Its totient is φ = 575963136.

The previous prime is 2263375273. The next prime is 2263375297. The reversal of 2263375296 is 6925733622.

2263375296 is a `hidden beast` number, since 2 + 2 + 633 + 7 + 5 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263375297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519320 + ... + 1520808.

It is an arithmetic number, because the mean of its divisors is an integer number (24599900).

Almost surely, 2^2263375296 is an apocalyptic number.

2263375296 is a gapful number since it is divisible by the number (26) 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 2263375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132783200).

2263375296 is an abundant number, since it is smaller than the sum of its proper divisors (6002191104).

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

2263375296 is a wasteful number, since it uses less digits than its factorization.

2263375296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1543 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 2263375296 is about 47574.9439936612. The cubic root of 2263375296 is about 1312.9621016663.

The spelling of 2263375296 in words is "two billion, two hundred sixty-three million, three hundred seventy-five thousand, two hundred ninety-six".