2034001132040 has 64 divisors (see below), whose sum is σ = 4820483880000. Its totient is φ = 770281332480.

The previous prime is 2034001131961. The next prime is 2034001132063. The reversal of 2034001132040 is 402311004302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313355 + ... + 2041125.

It is an arithmetic number, because the mean of its divisors is an integer number (75320060625).

Almost surely, 2^{2034001132040} is an apocalyptic number.

2034001132040 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 2034001132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410241940000).

2034001132040 is an abundant number, since it is smaller than the sum of its proper divisors (2786482747960).

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

2034001132040 is a wasteful number, since it uses less digits than its factorization.

2034001132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729350 (or 1729346 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2034001132040 its reverse (402311004302), we get a palindrome (2436312136342).

The spelling of 2034001132040 in words is "two trillion, thirty-four billion, one million, one hundred thirty-two thousand, forty".