2461012127712 has 72 divisors (see below), whose sum is σ = 6998830249320. Its totient is φ = 820299045120.

The previous prime is 2461012127687. The next prime is 2461012127723. The reversal of 2461012127712 is 2177212101642.

2461012127712 is a `hidden beast` number, since 2 + 4 + 610 + 1 + 2 + 1 + 27 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6346714 + ... + 6723302.

It is an arithmetic number, because the mean of its divisors is an integer number (97205975685).

Almost surely, 2^{2461012127712} is an apocalyptic number.

It is an amenable number.

2461012127712 is an abundant number, since it is smaller than the sum of its proper divisors (4537818121608).

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

2461012127712 is a wasteful number, since it uses less digits than its factorization.

2461012127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399296 (or 399285 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 2461012127712 in words is "two trillion, four hundred sixty-one billion, twelve million, one hundred twenty-seven thousand, seven hundred twelve".