2006453760 has 320 divisors, whose sum is σ = 6896558592. Its totient is φ = 496336896.

The previous prime is 2006453753. The next prime is 2006453773. The reversal of 2006453760 is 673546002.

It is a tau number, because it is divible by the number of its divisors (320).

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, 6535527 + ... + 6535833.

Almost surely, 2^2006453760 is an apocalyptic number.

2006453760 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 2006453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296).

2006453760 is an abundant number, since it is smaller than the sum of its proper divisors (4890104832).

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

2006453760 is a wasteful number, since it uses less digits than its factorization.

2006453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2006453760 is about 44793.4566650086. The cubic root of 2006453760 is about 1261.2747994874.

Adding to 2006453760 its reverse (673546002), we get a palindrome (2679999762).

The spelling of 2006453760 in words is "two billion, six million, four hundred fifty-three thousand, seven hundred sixty".