2006457144 has 32 divisors (see below), whose sum is σ = 5177955840. Its totient is φ = 647244000.

The previous prime is 2006457109. The next prime is 2006457157. The reversal of 2006457144 is 4417546002.

2006457144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347682 + ... + 1349169.

It is an arithmetic number, because the mean of its divisors is an integer number (161811120).

Almost surely, 2^2006457144 is an apocalyptic number.

2006457144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006457144 is an abundant number, since it is smaller than the sum of its proper divisors (3171498696).

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

2006457144 is a wasteful number, since it uses less digits than its factorization.

2006457144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696891 (or 2696887 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2006457144 is about 44793.4944383668. The cubic root of 2006457144 is about 1261.2755085579.

The spelling of 2006457144 in words is "two billion, six million, four hundred fifty-seven thousand, one hundred forty-four".