2029480320 has 512 divisors, whose sum is σ = 7896268800. Its totient is φ = 433520640.

The previous prime is 2029480283. The next prime is 2029480333. The reversal of 2029480320 is 230849202.

2029480320 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15980097 + ... + 15980223.

It is an arithmetic number, because the mean of its divisors is an integer number (15422400).

Almost surely, 2^2029480320 is an apocalyptic number.

2029480320 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 2029480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400).

2029480320 is an abundant number, since it is smaller than the sum of its proper divisors (5866788480).

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

2029480320 is a wasteful number, since it uses less digits than its factorization.

2029480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2029480320 is about 45049.7538284062. The cubic root of 2029480320 is about 1266.0813596204.

The spelling of 2029480320 in words is "two billion, twenty-nine million, four hundred eighty thousand, three hundred twenty".