2246640000 has 640 divisors, whose sum is σ = 8718209280. Its totient is φ = 506880000.

The previous prime is 2246639959. The next prime is 2246640001. The reversal of 2246640000 is 466422.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60719982 + ... + 60720018.

It is an arithmetic number, because the mean of its divisors is an integer number (13622202).

Almost surely, 2^2246640000 is an apocalyptic number.

2246640000 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 2246640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359104640).

2246640000 is an abundant number, since it is smaller than the sum of its proper divisors (6471569280).

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

2246640000 is a wasteful number, since it uses less digits than its factorization.

2246640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2246640000 is about 47398.7341603128. The cubic root of 2246640000 is about 1309.7180987339.

It can be divided in two parts, 2246 and 640000, that added together give a palindrome (642246).

The spelling of 2246640000 in words is "two billion, two hundred forty-six million, six hundred forty thousand".