2034142234020 has 1536 divisors, whose sum is σ = 7738343424000. Its totient is φ = 441552384000.

The previous prime is 2034142233947. The next prime is 2034142234037. The reversal of 2034142234020 is 204322414302.

2034142234020 is a `hidden beast` number, since 2 + 0 + 3 + 414 + 223 + 4 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28649890585 + ... + 28649890655.

It is an arithmetic number, because the mean of its divisors is an integer number (5037984000).

Almost surely, 2^{2034142234020} is an apocalyptic number.

2034142234020 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 2034142234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869171712000).

2034142234020 is an abundant number, since it is smaller than the sum of its proper divisors (5704201189980).

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

2034142234020 is a wasteful number, since it uses less digits than its factorization.

2034142234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2034142234020 its reverse (204322414302), we get a palindrome (2238464648322).

The spelling of 2034142234020 in words is "two trillion, thirty-four billion, one hundred forty-two million, two hundred thirty-four thousand, twenty".