2946949007232 has 128 divisors (see below), whose sum is σ = 8249434416000. Its totient is φ = 929530128384.

The previous prime is 2946949007203. The next prime is 2946949007347. The reversal of 2946949007232 is 2327009496492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6032158 + ... + 6502370.

It is an arithmetic number, because the mean of its divisors is an integer number (64448706375).

Almost surely, 2^{2946949007232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946949007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124717208000).

2946949007232 is an abundant number, since it is smaller than the sum of its proper divisors (5302485408768).

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

2946949007232 is a wasteful number, since it uses less digits than its factorization.

2946949007232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471108 (or 471096 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 2946949007232 in words is "two trillion, nine hundred forty-six billion, nine hundred forty-nine million, seven thousand, two hundred thirty-two".