2010434140 has 144 divisors (see below), whose sum is σ = 5206311936. Its totient is φ = 645216000.

The previous prime is 2010434123. The next prime is 2010434147. The reversal of 2010434140 is 414340102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010434147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853965 + ... + 856315.

It is an arithmetic number, because the mean of its divisors is an integer number (36154944).

Almost surely, 2^2010434140 is an apocalyptic number.

2010434140 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 2010434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603155968).

2010434140 is an abundant number, since it is smaller than the sum of its proper divisors (3195877796).

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

2010434140 is a wasteful number, since it uses less digits than its factorization.

2010434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2010434140 is about 44837.8650249987. The cubic root of 2010434140 is about 1262.1082827481.

Adding to 2010434140 its reverse (414340102), we get a palindrome (2424774242).

The spelling of 2010434140 in words is "two billion, ten million, four hundred thirty-four thousand, one hundred forty".