2753257900032 has 384 divisors, whose sum is σ = 8691319728000. Its totient is φ = 869422989312.

The previous prime is 2753257900009. The next prime is 2753257900033. The reversal of 2753257900032 is 2300097523572.

2753257900032 is a `hidden beast` number, since 2 + 75 + 3 + 2 + 579 + 0 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2753257900033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85084368 + ... + 85116720.

It is an arithmetic number, because the mean of its divisors is an integer number (22633645125).

Almost surely, 2^{2753257900032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753257900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345659864000).

2753257900032 is an abundant number, since it is smaller than the sum of its proper divisors (5938061827968).

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

2753257900032 is an frugal number, since it uses more digits than its factorization.

2753257900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32415 (or 32377 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 2753257900032 in words is "two trillion, seven hundred fifty-three billion, two hundred fifty-seven million, nine hundred thousand, thirty-two".