2029648320 has 448 divisors, whose sum is σ = 8413455360. Its totient is φ = 450883584.

The previous prime is 2029648307. The next prime is 2029648331. The reversal of 2029648320 is 238469202.

2029648320 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 648 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 2237307 + ... + 2238213.

Almost surely, 2^2029648320 is an apocalyptic number.

2029648320 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 2029648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206727680).

2029648320 is an abundant number, since it is smaller than the sum of its proper divisors (6383807040).

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

2029648320 is a wasteful number, since it uses less digits than its factorization.

2029648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2029648320 is about 45051.6183949034. The cubic root of 2029648320 is about 1266.1162939822.

The spelling of 2029648320 in words is "two billion, twenty-nine million, six hundred forty-eight thousand, three hundred twenty".