2929937472 has 336 divisors, whose sum is σ = 10813231104. Its totient is φ = 736128000.

The previous prime is 2929937453. The next prime is 2929937519. The reversal of 2929937472 is 2747399292.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1373847 + ... + 1375977.

Almost surely, 2^2929937472 is an apocalyptic number.

2929937472 is a gapful number since it is divisible by the number (22) 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 2929937472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406615552).

2929937472 is an abundant number, since it is smaller than the sum of its proper divisors (7883293632).

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

2929937472 is a wasteful number, since it uses less digits than its factorization.

2929937472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2185 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 2929937472 is about 54128.8968296972. The cubic root of 2929937472 is about 1430.9334984266.

The spelling of 2929937472 in words is "two billion, nine hundred twenty-nine million, nine hundred thirty-seven thousand, four hundred seventy-two".