2291806440 has 768 divisors, whose sum is σ = 10085990400. Its totient is φ = 457228800.

The previous prime is 2291806427. The next prime is 2291806463. The reversal of 2291806440 is 446081922.

2291806440 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 8 + 0 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2291806395 and 2291806404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18045657 + ... + 18045783.

It is an arithmetic number, because the mean of its divisors is an integer number (13132800).

Almost surely, 2^2291806440 is an apocalyptic number.

2291806440 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 2291806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042995200).

2291806440 is an abundant number, since it is smaller than the sum of its proper divisors (7794183960).

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

2291806440 is a wasteful number, since it uses less digits than its factorization.

2291806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2291806440 is about 47872.8152504112. The cubic root of 2291806440 is about 1318.4367858532.

The spelling of 2291806440 in words is "two billion, two hundred ninety-one million, eight hundred six thousand, four hundred forty".