2942160480 has 288 divisors, whose sum is σ = 11638867968. Its totient is φ = 662860800.

The previous prime is 2942160457. The next prime is 2942160499. The reversal of 2942160480 is 840612492.

2942160480 is a `hidden beast` number, since 2 + 9 + 42 + 1 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713625 + ... + 717735.

It is an arithmetic number, because the mean of its divisors is an integer number (40412736).

Almost surely, 2^2942160480 is an apocalyptic number.

2942160480 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 2942160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819433984).

2942160480 is an abundant number, since it is smaller than the sum of its proper divisors (8696707488).

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

2942160480 is a wasteful number, since it uses less digits than its factorization.

2942160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2942160480 is about 54241.6858145099. The cubic root of 2942160480 is about 1432.9205767813.

The spelling of 2942160480 in words is "two billion, nine hundred forty-two million, one hundred sixty thousand, four hundred eighty".