2752127997360 has 640 divisors, whose sum is σ = 10010126168064. Its totient is φ = 612576706560.

The previous prime is 2752127997347. The next prime is 2752127997401. The reversal of 2752127997360 is 637997212572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2752127997294 and 2752127997303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4065181342 + ... + 4065182018.

Almost surely, 2^{2752127997360} is an apocalyptic number.

2752127997360 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 2752127997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005063084032).

2752127997360 is an abundant number, since it is smaller than the sum of its proper divisors (7257998170704).

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

2752127997360 is a wasteful number, since it uses less digits than its factorization.

2752127997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 2752127997360 in words is "two trillion, seven hundred fifty-two billion, one hundred twenty-seven million, nine hundred ninety-seven thousand, three hundred sixty".