2946413664 has 192 divisors, whose sum is σ = 8925396480. Its totient is φ = 944939520.

The previous prime is 2946413629. The next prime is 2946413669. The reversal of 2946413664 is 4663146492.

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 (2946413669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637234 + ... + 2638350.

It is an arithmetic number, because the mean of its divisors is an integer number (46486440).

Almost surely, 2^2946413664 is an apocalyptic number.

2946413664 is a gapful number since it is divisible by the number (24) 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 2946413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462698240).

2946413664 is an abundant number, since it is smaller than the sum of its proper divisors (5978982816).

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

2946413664 is a wasteful number, since it uses less digits than its factorization.

2946413664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2946413664 is about 54280.8775168567. The cubic root of 2946413664 is about 1433.6107204751.

The spelling of 2946413664 in words is "two billion, nine hundred forty-six million, four hundred thirteen thousand, six hundred sixty-four".