2047924032 has 336 divisors, whose sum is σ = 6972604800. Its totient is φ = 529858560.

The previous prime is 2047924019. The next prime is 2047924033. The reversal of 2047924032 is 2304297402.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2047923984 and 2047924002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047924033) by changing a digit.

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, 7968448 + ... + 7968704.

It is an arithmetic number, because the mean of its divisors is an integer number (20751800).

Almost surely, 2^2047924032 is an apocalyptic number.

2047924032 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 2047924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486302400).

2047924032 is an abundant number, since it is smaller than the sum of its proper divisors (4924680768).

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

2047924032 is a wasteful number, since it uses less digits than its factorization.

2047924032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2047924032 is about 45253.9946524061. The cubic root of 2047924032 is about 1269.9051393383.

The spelling of 2047924032 in words is "two billion, forty-seven million, nine hundred twenty-four thousand, thirty-two".