2034020414140 has 384 divisors, whose sum is σ = 5321249095680. Its totient is φ = 642561638400.

The previous prime is 2034020414119. The next prime is 2034020414141. The reversal of 2034020414140 is 414140204302.

It is a super-2 number, since 2×2034020414140² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034020414141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1218705226 + ... + 1218706894.

It is an arithmetic number, because the mean of its divisors is an integer number (13857419520).

Almost surely, 2^{2034020414140} is an apocalyptic number.

2034020414140 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 2034020414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660624547840).

2034020414140 is an abundant number, since it is smaller than the sum of its proper divisors (3287228681540).

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

2034020414140 is a wasteful number, since it uses less digits than its factorization.

2034020414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2034020414140 its reverse (414140204302), we get a palindrome (2448160618442).

The spelling of 2034020414140 in words is "two trillion, thirty-four billion, twenty million, four hundred fourteen thousand, one hundred forty".