2263954600 has 96 divisors (see below), whose sum is σ = 5765758200. Its totient is φ = 822886400.

The previous prime is 2263954597. The next prime is 2263954603. The reversal of 2263954600 is 64593622.

It is an interprime number because it is at equal distance from previous prime (2263954597) and next prime (2263954603).

It can be written as a sum of positive squares in 12 ways, for example, as 537219684 + 1726734916 = 23178^2 + 41554^2 .

It is a super-2 number, since 2×2263954600² = 10250980861722320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2263954600.

It is not an unprimeable number, because it can be changed into a prime (2263954603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87120 + ... + 110080.

Almost surely, 2^2263954600 is an apocalyptic number.

2263954600 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 2263954600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882879100).

2263954600 is an abundant number, since it is smaller than the sum of its proper divisors (3501803600).

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

2263954600 is a wasteful number, since it uses less digits than its factorization.

2263954600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23023 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 2263954600 is about 47581.0319350054. The cubic root of 2263954600 is about 1313.0741083253.

The spelling of 2263954600 in words is "two billion, two hundred sixty-three million, nine hundred fifty-four thousand, six hundred".