2701042234020 has 1536 divisors, whose sum is σ = 10289680128000. Its totient is φ = 589182418944.

The previous prime is 2701042234013. The next prime is 2701042234061. The reversal of 2701042234020 is 204322401072.

2701042234020 is a `hidden beast` number, since 27 + 0 + 10 + 4 + 223 + 402 + 0 = 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, 11592455824 + ... + 11592456056.

It is an arithmetic number, because the mean of its divisors is an integer number (6699010500).

Almost surely, 2^{2701042234020} is an apocalyptic number.

2701042234020 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 2701042234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144840064000).

2701042234020 is an abundant number, since it is smaller than the sum of its proper divisors (7588637893980).

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

2701042234020 is a wasteful number, since it uses less digits than its factorization.

2701042234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 2701042234020 its reverse (204322401072), we get a palindrome (2905364635092).

The spelling of 2701042234020 in words is "two trillion, seven hundred one billion, forty-two million, two hundred thirty-four thousand, twenty".