2000614140 has 432 divisors, whose sum is σ = 7584804864. Its totient is φ = 440899200.

The previous prime is 2000614117. The next prime is 2000614141. The reversal of 2000614140 is 414160002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000614141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7382205 + ... + 7382475.

Almost surely, 2^2000614140 is an apocalyptic number.

2000614140 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 2000614140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792402432).

2000614140 is an abundant number, since it is smaller than the sum of its proper divisors (5584190724).

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

2000614140 is a wasteful number, since it uses less digits than its factorization.

2000614140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2000614140 is about 44728.2253169070. The cubic root of 2000614140 is about 1260.0499980160.

Adding to 2000614140 its reverse (414160002), we get a palindrome (2414774142).

The spelling of 2000614140 in words is "two billion, six hundred fourteen thousand, one hundred forty".