2261635200 has 576 divisors, whose sum is σ = 9026877600. Its totient is φ = 538982400.

The previous prime is 2261635157. The next prime is 2261635213. The reversal of 2261635200 is 25361622.

2261635200 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 635 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2261635200² = 10229987555758080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38332771 + ... + 38332829.

Almost surely, 2^2261635200 is an apocalyptic number.

2261635200 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 2261635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513438800).

2261635200 is an abundant number, since it is smaller than the sum of its proper divisors (6765242400).

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

2261635200 is a wasteful number, since it uses less digits than its factorization.

2261635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

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

The square root of 2261635200 is about 47556.6525314808. The cubic root of 2261635200 is about 1312.6255444535.

Adding to 2261635200 its reverse (25361622), we get a palindrome (2286996822).

The spelling of 2261635200 in words is "two billion, two hundred sixty-one million, six hundred thirty-five thousand, two hundred".