2546747121312 has 96 divisors (see below), whose sum is σ = 7432388712000. Its totient is φ = 848415561984.

The previous prime is 2546747121293. The next prime is 2546747121313. The reversal of 2546747121312 is 2131217476452.

2546747121312 is a `hidden beast` number, since 2 + 5 + 46 + 7 + 471 + 2 + 131 + 2 = 666.

2546747121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2546747121313) 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, 600478 + ... + 2335394.

It is an arithmetic number, because the mean of its divisors is an integer number (77420715750).

Almost surely, 2^{2546747121312} 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 2546747121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716194356000).

2546747121312 is an abundant number, since it is smaller than the sum of its proper divisors (4885641590688).

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

2546747121312 is a wasteful number, since it uses less digits than its factorization.

2546747121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736635 (or 1736621 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 2546747121312 in words is "two trillion, five hundred forty-six billion, seven hundred forty-seven million, one hundred twenty-one thousand, three hundred twelve".