2951984160 has 144 divisors (see below), whose sum is σ = 10088245440. Its totient is φ = 786055680.

The previous prime is 2951984149. The next prime is 2951984171. The reversal of 2951984160 is 614891592.

It is an interprime number because it is at equal distance from previous prime (2951984149) and next prime (2951984171).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570101 + ... + 1571979.

It is an arithmetic number, because the mean of its divisors is an integer number (70057260).

Almost surely, 2^2951984160 is an apocalyptic number.

2951984160 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 2951984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044122720).

2951984160 is an abundant number, since it is smaller than the sum of its proper divisors (7136261280).

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

2951984160 is a wasteful number, since it uses less digits than its factorization.

2951984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2951984160 is about 54332.1650590145. The cubic root of 2951984160 is about 1434.5136142119.

The spelling of 2951984160 in words is "two billion, nine hundred fifty-one million, nine hundred eighty-four thousand, one hundred sixty".