2984912156160 has 960 divisors, whose sum is σ = 11945169460224. Its totient is φ = 708142694400.

The previous prime is 2984912156077. The next prime is 2984912156273. The reversal of 2984912156160 is 616512194892.

2984912156160 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 9 + 1 + 2 + 15 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 2984912156097 and 2984912156106.

It is a congruent number.

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, 321610720 + ... + 321620000.

Almost surely, 2^{2984912156160} is an apocalyptic number.

2984912156160 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 2984912156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972584730112).

2984912156160 is an abundant number, since it is smaller than the sum of its proper divisors (8960257304064).

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

2984912156160 is an equidigital number, since it uses as much as digits as its factorization.

2984912156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2984912156160 in words is "two trillion, nine hundred eighty-four billion, nine hundred twelve million, one hundred fifty-six thousand, one hundred sixty".