2261953600 has 189 divisors, whose sum is σ = 5908385821. Its totient is φ = 852275200.

The previous prime is 2261953541. The next prime is 2261953613. The reversal of 2261953600 is 63591622.

The square root of 2261953600 is 47560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2237668416 + 24285184 = 47304^2 + 4928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55169580 + ... + 55169620.

Almost surely, 2^2261953600 is an apocalyptic number.

2261953600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2261953600 is the 47560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261953600

2261953600 is an abundant number, since it is smaller than the sum of its proper divisors (3646432221).

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

2261953600 is an equidigital number, since it uses as much as digits as its factorization.

2261953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 2261953600 is about 1312.6871400580.

The spelling of 2261953600 in words is "two billion, two hundred sixty-one million, nine hundred fifty-three thousand, six hundred".