2941632320 has 112 divisors (see below), whose sum is σ = 7756233408. Its totient is φ = 1053634560.

The previous prime is 2941632283. The next prime is 2941632329. The reversal of 2941632320 is 232361492.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941632329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229604 + ... + 242076.

It is an arithmetic number, because the mean of its divisors is an integer number (69252084).

Almost surely, 2^2941632320 is an apocalyptic number.

2941632320 is a gapful number since it is divisible by the number (20) 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 2941632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878116704).

2941632320 is an abundant number, since it is smaller than the sum of its proper divisors (4814601088).

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

2941632320 is a wasteful number, since it uses less digits than its factorization.

2941632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2941632320 is about 54236.8170157505. The cubic root of 2941632320 is about 1432.8348283857.

The spelling of 2941632320 in words is "two billion, nine hundred forty-one million, six hundred thirty-two thousand, three hundred twenty".