2261575000 has 96 divisors (see below), whose sum is σ = 5390748720. Its totient is φ = 889200000.

The previous prime is 2261574977. The next prime is 2261575003. The reversal of 2261575000 is 5751622.

It is a super-2 number, since 2×2261575000² = 10229442961250000000, 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 2261575000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261575003) 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, 1524259 + ... + 1525741.

Almost surely, 2^2261575000 is an apocalyptic number.

2261575000 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 2261575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695374360).

2261575000 is an abundant number, since it is smaller than the sum of its proper divisors (3129173720).

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

2261575000 is an equidigital number, since it uses as much as digits as its factorization.

2261575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2261575000 is about 47556.0195979436. The cubic root of 2261575000 is about 1312.6138979011.

The spelling of 2261575000 in words is "two billion, two hundred sixty-one million, five hundred seventy-five thousand".