2107048320 has 384 divisors, whose sum is σ = 8253554400. Its totient is φ = 491028480.

The previous prime is 2107048309. The next prime is 2107048367. The reversal of 2107048320 is 238407012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 1421980 + ... + 1423460.

Almost surely, 2^2107048320 is an apocalyptic number.

2107048320 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 2107048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126777200).

2107048320 is an abundant number, since it is smaller than the sum of its proper divisors (6146506080).

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

2107048320 is a wasteful number, since it uses less digits than its factorization.

2107048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2107048320 is about 45902.5960050191. The cubic root of 2107048320 is about 1282.0102526838.

It can be divided in two parts, 210704 and 8320, that added together give a square (219024 = 468²).

The spelling of 2107048320 in words is "two billion, one hundred seven million, forty-eight thousand, three hundred twenty".