2261318400 has 648 divisors, whose sum is σ = 9133540416. Its totient is φ = 528998400.

The previous prime is 2261318399. The next prime is 2261318431. The reversal of 2261318400 is 48131622.

2261318400 is a `hidden beast` number, since 2 + 2 + 613 + 1 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×2261318400² = 10227121812357120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27244759 + ... + 27244841.

Almost surely, 2^2261318400 is an apocalyptic number.

2261318400 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 2261318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566770208).

2261318400 is an abundant number, since it is smaller than the sum of its proper divisors (6872222016).

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

2261318400 is a wasteful number, since it uses less digits than its factorization.

2261318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2261318400 is about 47553.3216505430. The cubic root of 2261318400 is about 1312.5642526368.

The spelling of 2261318400 in words is "two billion, two hundred sixty-one million, three hundred eighteen thousand, four hundred".