2329477920 has 768 divisors, whose sum is σ = 10450944000. Its totient is φ = 470568960.

The previous prime is 2329477903. The next prime is 2329477949. The reversal of 2329477920 is 297749232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 15634006 + ... + 15634154.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 2^2329477920 is an apocalyptic number.

2329477920 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 2329477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

2329477920 is an abundant number, since it is smaller than the sum of its proper divisors (8121466080).

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

2329477920 is a wasteful number, since it uses less digits than its factorization.

2329477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2329477920 is about 48264.6653360406. The cubic root of 2329477920 is about 1325.6214803777.

It can be divided in two parts, 2329 and 477920, that added together give a square (480249 = 693²).

The spelling of 2329477920 in words is "two billion, three hundred twenty-nine million, four hundred seventy-seven thousand, nine hundred twenty".