2246833440 has 144 divisors (see below), whose sum is σ = 7681073400. Its totient is φ = 598081536.

The previous prime is 2246833439. The next prime is 2246833447. The reversal of 2246833440 is 443386422.

2246833440 is a `hidden beast` number, since 224 + 68 + 334 + 40 = 666.

2246833440 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 4 ways, for example, as 2182384656 + 64448784 = 46716^2 + 8028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2246833395 and 2246833404.

It is not an unprimeable number, because it can be changed into a prime (2246833447) 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, 1106346 + ... + 1108374.

Almost surely, 2^2246833440 is an apocalyptic number.

2246833440 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 2246833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840536700).

2246833440 is an abundant number, since it is smaller than the sum of its proper divisors (5434239960).

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

2246833440 is a wasteful number, since it uses less digits than its factorization.

2246833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2246833440 is about 47400.7746772139. The cubic root of 2246833440 is about 1309.7556873994.

The spelling of 2246833440 in words is "two billion, two hundred forty-six million, eight hundred thirty-three thousand, four hundred forty".