2006257120 has 192 divisors, whose sum is σ = 5900428800. Its totient is φ = 628992000.

The previous prime is 2006257109. The next prime is 2006257147. The reversal of 2006257120 is 217526002.

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, 615495 + ... + 618745.

It is an arithmetic number, because the mean of its divisors is an integer number (30731400).

Almost surely, 2^2006257120 is an apocalyptic number.

2006257120 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 2006257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950214400).

2006257120 is an abundant number, since it is smaller than the sum of its proper divisors (3894171680).

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

2006257120 is a wasteful number, since it uses less digits than its factorization.

2006257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2006257120 is about 44791.2616477813. The cubic root of 2006257120 is about 1261.2335949197.

The spelling of 2006257120 in words is "two billion, six million, two hundred fifty-seven thousand, one hundred twenty".