2541625458912 has 96 divisors (see below), whose sum is σ = 7849137492000. Its totient is φ = 797372688384.

The previous prime is 2541625458901. The next prime is 2541625458919. The reversal of 2541625458912 is 2198545261452.

It is a happy number.

2541625458912 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 6 + 2 + 54 + 589 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541625458919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86505787 + ... + 86535162.

It is an arithmetic number, because the mean of its divisors is an integer number (81761848875).

Almost surely, 2^{2541625458912} is an apocalyptic number.

It is an amenable number.

2541625458912 is an abundant number, since it is smaller than the sum of its proper divisors (5307512033088).

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

2541625458912 is a wasteful number, since it uses less digits than its factorization.

2541625458912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173040985 (or 173040971 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 2541625458912 in words is "two trillion, five hundred forty-one billion, six hundred twenty-five million, four hundred fifty-eight thousand, nine hundred twelve".