2034220102040 has 384 divisors, whose sum is σ = 5664770899200. Its totient is φ = 654345216000.

The previous prime is 2034220102009. The next prime is 2034220102073. The reversal of 2034220102040 is 402010224302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631547630 + ... + 631550850.

It is an arithmetic number, because the mean of its divisors is an integer number (14752007550).

Almost surely, 2^{2034220102040} is an apocalyptic number.

2034220102040 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 2034220102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832385449600).

2034220102040 is an abundant number, since it is smaller than the sum of its proper divisors (3630550797160).

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

2034220102040 is a wasteful number, since it uses less digits than its factorization.

2034220102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2034220102040 its reverse (402010224302), we get a palindrome (2436230326342).

The spelling of 2034220102040 in words is "two trillion, thirty-four billion, two hundred twenty million, one hundred two thousand, forty".