2752136073100 has 144 divisors (see below), whose sum is σ = 6280019928000. Its totient is φ = 1045493406720.

The previous prime is 2752136073061. The next prime is 2752136073101. The reversal of 2752136073100 is 13706312572.

It is a super-2 number, since 2×2752136073100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2752136073100.

It is not an unprimeable number, because it can be changed into a prime (2752136073101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44475382 + ... + 44537218.

It is an arithmetic number, because the mean of its divisors is an integer number (43611249500).

Almost surely, 2^{2752136073100} is an apocalyptic number.

2752136073100 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 2752136073100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140009964000).

2752136073100 is an abundant number, since it is smaller than the sum of its proper divisors (3527883854900).

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

2752136073100 is a wasteful number, since it uses less digits than its factorization.

2752136073100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62132 (or 62125 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 2752136073100 in words is "two trillion, seven hundred fifty-two billion, one hundred thirty-six million, seventy-three thousand, one hundred".