2005707120 has 160 divisors (see below), whose sum is σ = 6342451200. Its totient is φ = 524224512.

The previous prime is 2005707113. The next prime is 2005707133. The reversal of 2005707120 is 217075002.

2005707120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2005707120² = 8045722102437388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187041 + ... + 4187519.

It is an arithmetic number, because the mean of its divisors is an integer number (39640320).

Almost surely, 2^2005707120 is an apocalyptic number.

2005707120 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 2005707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171225600).

2005707120 is an abundant number, since it is smaller than the sum of its proper divisors (4336744080).

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

2005707120 is a wasteful number, since it uses less digits than its factorization.

2005707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 2005707120 is about 44785.1216365435. The cubic root of 2005707120 is about 1261.1183318811.

It can be divided in two parts, 200570 and 7120, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 2005707120 in words is "two billion, five million, seven hundred seven thousand, one hundred twenty".