2752073572140 has 240 divisors, whose sum is σ = 8856929521440. Its totient is φ = 714969400320.

The previous prime is 2752073572093. The next prime is 2752073572151. The reversal of 2752073572140 is 412753702572.

2752073572140 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 0 + 73 + 572 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27046960 + ... + 27148520.

It is an arithmetic number, because the mean of its divisors is an integer number (36903873006).

Almost surely, 2^{2752073572140} is an apocalyptic number.

2752073572140 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 2752073572140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428464760720).

2752073572140 is an abundant number, since it is smaller than the sum of its proper divisors (6104855949300).

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

2752073572140 is a wasteful number, since it uses less digits than its factorization.

2752073572140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102014 (or 102003 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 2752073572140 in words is "two trillion, seven hundred fifty-two billion, seventy-three million, five hundred seventy-two thousand, one hundred forty".