2261536200 has 960 divisors, whose sum is σ = 10262736000. Its totient is φ = 457228800.

The previous prime is 2261536187. The next prime is 2261536201. The reversal of 2261536200 is 26351622.

2261536200 is a `hidden beast` number, since 2 + 26 + 15 + 3 + 620 + 0 = 666.

It is a super-2 number, since 2×2261536200² = 10229091967820880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2261536201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61122582 + ... + 61122618.

It is an arithmetic number, because the mean of its divisors is an integer number (10690350).

Almost surely, 2^2261536200 is an apocalyptic number.

2261536200 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 2261536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131368000).

2261536200 is an abundant number, since it is smaller than the sum of its proper divisors (8001199800).

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

2261536200 is a wasteful number, since it uses less digits than its factorization.

2261536200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2261536200 is about 47555.6116562494. The cubic root of 2261536200 is about 1312.6063913757.

Adding to 2261536200 its reverse (26351622), we get a palindrome (2287887822).

The spelling of 2261536200 in words is "two billion, two hundred sixty-one million, five hundred thirty-six thousand, two hundred".