2948031770112 has 2160 divisors, whose sum is σ = 11599028833392. Its totient is φ = 735268700160.

The previous prime is 2948031770009. The next prime is 2948031770183. The reversal of 2948031770112 is 2110771308492.

2948031770112 is a `hidden beast` number, since 29 + 480 + 31 + 7 + 7 + 0 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 155159566839 + ... + 155159566857.

Almost surely, 2^{2948031770112} is an apocalyptic number.

2948031770112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948031770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799514416696).

2948031770112 is an abundant number, since it is smaller than the sum of its proper divisors (8650997063280).

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

2948031770112 is an equidigital number, since it uses as much as digits as its factorization.

2948031770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2948031770112 in words is "two trillion, nine hundred forty-eight billion, thirty-one million, seven hundred seventy thousand, one hundred twelve".