2948761194120 has 384 divisors, whose sum is σ = 11931106118400. Its totient is φ = 644697833472.

The previous prime is 2948761193969. The next prime is 2948761194151. The reversal of 2948761194120 is 214911678492.

2948761194120 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 7 + 611 + 9 + 4 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5832 + ... + 2428488.

It is an arithmetic number, because the mean of its divisors is an integer number (31070588850).

Almost surely, 2^{2948761194120} is an apocalyptic number.

2948761194120 is a gapful number since it is divisible by the number (20) 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 2948761194120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965553059200).

2948761194120 is an abundant number, since it is smaller than the sum of its proper divisors (8982344924280).

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

2948761194120 is a wasteful number, since it uses less digits than its factorization.

2948761194120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422714 (or 2422697 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2948761194120 in words is "two trillion, nine hundred forty-eight billion, seven hundred sixty-one million, one hundred ninety-four thousand, one hundred twenty".