2946648144 has 120 divisors (see below), whose sum is σ = 8416329376. Its totient is φ = 887673600.

The previous prime is 2946648109. The next prime is 2946648157. The reversal of 2946648144 is 4418466492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2946648093 and 2946648102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049847 + ... + 1052649.

Almost surely, 2^2946648144 is an apocalyptic number.

2946648144 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 2946648144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208164688).

2946648144 is an abundant number, since it is smaller than the sum of its proper divisors (5469681232).

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

2946648144 is a wasteful number, since it uses less digits than its factorization.

2946648144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3000 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2946648144 is about 54283.0373505389. The cubic root of 2946648144 is about 1433.6487490938.

The spelling of 2946648144 in words is "two billion, nine hundred forty-six million, six hundred forty-eight thousand, one hundred forty-four".