2959794432 has 324 divisors, whose sum is σ = 10305365616. Its totient is φ = 844784640.

The previous prime is 2959794371. The next prime is 2959794437. The reversal of 2959794432 is 2344979592.

2959794432 is a `hidden beast` number, since 2 + 9 + 597 + 9 + 4 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is not an unprimeable number, because it can be changed into a prime (2959794437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047707 + ... + 3048677.

It is an arithmetic number, because the mean of its divisors is an integer number (31806684).

Almost surely, 2^2959794432 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 2959794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152682808).

2959794432 is an abundant number, since it is smaller than the sum of its proper divisors (7345571184).

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

2959794432 is an frugal number, since it uses more digits than its factorization.

2959794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 983 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 2959794432 is about 54403.9927946470. The cubic root of 2959794432 is about 1435.7776312693. Note that the first 3 decimals are identical.

The spelling of 2959794432 in words is "two billion, nine hundred fifty-nine million, seven hundred ninety-four thousand, four hundred thirty-two".