2006147640 has 128 divisors (see below), whose sum is σ = 7100190720. Its totient is φ = 443750400.

The previous prime is 2006147629. The next prime is 2006147651. The reversal of 2006147640 is 467416002.

2006147640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2006147629) and next prime (2006147651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2006147598 and 2006147607.

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, 12481 + ... + 64560.

It is an arithmetic number, because the mean of its divisors is an integer number (55470240).

Almost surely, 2^2006147640 is an apocalyptic number.

2006147640 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 2006147640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550095360).

2006147640 is an abundant number, since it is smaller than the sum of its proper divisors (5094043080).

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

2006147640 is a wasteful number, since it uses less digits than its factorization.

2006147640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77093 (or 77089 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2006147640 is about 44790.0395177321. The cubic root of 2006147640 is about 1261.2106529673.

The spelling of 2006147640 in words is "two billion, six million, one hundred forty-seven thousand, six hundred forty".