2261941200 has 210 divisors, whose sum is σ = 8148793734. Its totient is φ = 603106560.

The previous prime is 2261941163. The next prime is 2261941207. The reversal of 2261941200 is 21491622.

2261941200 is a `hidden beast` number, since 2 + 2 + 619 + 41 + 2 + 0 + 0 = 666.

2261941200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 386358336 + 1875582864 = 19656^2 + 43308^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261941207) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287722 + ... + 295478.

Almost surely, 2^2261941200 is an apocalyptic number.

2261941200 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 2261941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074396867).

2261941200 is an abundant number, since it is smaller than the sum of its proper divisors (5886852534).

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

2261941200 is an equidigital number, since it uses as much as digits as its factorization.

2261941200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2261941200 is about 47559.8696381729. The cubic root of 2261941200 is about 1312.6847413424.

The spelling of 2261941200 in words is "two billion, two hundred sixty-one million, nine hundred forty-one thousand, two hundred".