2266611400 has 96 divisors (see below), whose sum is σ = 5357860200. Its totient is φ = 891648000.

The previous prime is 2266611367. The next prime is 2266611401. The reversal of 2266611400 is 41166622.

2266611400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1119705444 + 1146905956 = 33462^2 + 33866^2 .

It is a super-3 number, since 3×2266611400³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2266611401) 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, 3771100 + ... + 3771700.

Almost surely, 2^2266611400 is an apocalyptic number.

2266611400 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 2266611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678930100).

2266611400 is an abundant number, since it is smaller than the sum of its proper divisors (3091248800).

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

2266611400 is a wasteful number, since it uses less digits than its factorization.

2266611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2266611400 is about 47608.9424373195. The cubic root of 2266611400 is about 1313.5875478823.

The spelling of 2266611400 in words is "two billion, two hundred sixty-six million, six hundred eleven thousand, four hundred".