2246348160 has 512 divisors, whose sum is σ = 9302400000. Its totient is φ = 512096256.

The previous prime is 2246348147. The next prime is 2246348161. The reversal of 2246348160 is 618436422.

2246348160 is a `hidden beast` number, since 2 + 2 + 4 + 634 + 8 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246348161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926851 + ... + 5927229.

It is an arithmetic number, because the mean of its divisors is an integer number (18168750).

Almost surely, 2^2246348160 is an apocalyptic number.

2246348160 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 2246348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200000).

2246348160 is an abundant number, since it is smaller than the sum of its proper divisors (7056051840).

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

2246348160 is an equidigital number, since it uses as much as digits as its factorization.

2246348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2246348160 is about 47395.6554971023. The cubic root of 2246348160 is about 1309.6613852000.

The spelling of 2246348160 in words is "two billion, two hundred forty-six million, three hundred forty-eight thousand, one hundred sixty".