2735572755372 has 48 divisors (see below), whose sum is σ = 6388696887552. Its totient is φ = 911044411200.

The previous prime is 2735572755371. The next prime is 2735572755431.

It is a happy number.

2735572755372 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2735572755371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162407583 + ... + 162424425.

It is an arithmetic number, because the mean of its divisors is an integer number (133097851824).

Almost surely, 2^{2735572755372} is an apocalyptic number.

It is an amenable number.

2735572755372 is an abundant number, since it is smaller than the sum of its proper divisors (3653124132180).

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

2735572755372 is a wasteful number, since it uses less digits than its factorization.

2735572755372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28118 (or 28116 counting only the distinct ones).

The product of its digits is 108045000, while the sum is 60.

The spelling of 2735572755372 in words is "two trillion, seven hundred thirty-five billion, five hundred seventy-two million, seven hundred fifty-five thousand, three hundred seventy-two".