2967460790112 has 1728 divisors, whose sum is σ = 11553930460800. Its totient is φ = 717227384832.

The previous prime is 2967460790087. The next prime is 2967460790117. The reversal of 2967460790112 is 2110970647692.

2967460790112 is a `hidden beast` number, since 2 + 9 + 67 + 460 + 7 + 9 + 0 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967460790117) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17152952458 + ... + 17152952630.

It is an arithmetic number, because the mean of its divisors is an integer number (6686302350).

Almost surely, 2^{2967460790112} 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 2967460790112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776965230400).

2967460790112 is an abundant number, since it is smaller than the sum of its proper divisors (8586469670688).

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

2967460790112 is a wasteful number, since it uses less digits than its factorization.

2967460790112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2967460790112 in words is "two trillion, nine hundred sixty-seven billion, four hundred sixty million, seven hundred ninety thousand, one hundred twelve".