2027634532320 has 192 divisors, whose sum is σ = 6401414505024. Its totient is φ = 539487928320.

The previous prime is 2027634532291. The next prime is 2027634532423. The reversal of 2027634532320 is 232354367202.

It is a super-2 number, since 2×2027634532320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539119240 + ... + 539123000.

It is an arithmetic number, because the mean of its divisors is an integer number (33340700547).

Almost surely, 2^{2027634532320} is an apocalyptic number.

2027634532320 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 2027634532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200707252512).

2027634532320 is an abundant number, since it is smaller than the sum of its proper divisors (4373779972704).

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

2027634532320 is a wasteful number, since it uses less digits than its factorization.

2027634532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

Adding to 2027634532320 its reverse (232354367202), we get a palindrome (2259988899522).

The spelling of 2027634532320 in words is "two trillion, twenty-seven billion, six hundred thirty-four million, five hundred thirty-two thousand, three hundred twenty".