2946682368 has 320 divisors, whose sum is σ = 10250296320. Its totient is φ = 818159616.

The previous prime is 2946682363. The next prime is 2946682397. The reversal of 2946682368 is 8632866492.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946682363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580005 + ... + 3580827.

It is an arithmetic number, because the mean of its divisors is an integer number (32032176).

Almost surely, 2^2946682368 is an apocalyptic number.

2946682368 is a gapful number since it is divisible by the number (28) 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 2946682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125148160).

2946682368 is an abundant number, since it is smaller than the sum of its proper divisors (7303613952).

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

2946682368 is an equidigital number, since it uses as much as digits as its factorization.

2946682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 872 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2946682368 is about 54283.3525862211. The cubic root of 2946682368 is about 1433.6542994686.

The spelling of 2946682368 in words is "two billion, nine hundred forty-six million, six hundred eighty-two thousand, three hundred sixty-eight".