2956124160 has 504 divisors, whose sum is σ = 11608207416. Its totient is φ = 716636160.

The previous prime is 2956124113. The next prime is 2956124167. The reversal of 2956124160 is 614216592.

2956124160 is a `hidden beast` number, since 29 + 5 + 612 + 4 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956124167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268738555 + ... + 268738565.

Almost surely, 2^2956124160 is an apocalyptic number.

2956124160 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 2956124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804103708).

2956124160 is an abundant number, since it is smaller than the sum of its proper divisors (8652083256).

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

2956124160 is an frugal number, since it uses more digits than its factorization.

2956124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2956124160 is about 54370.2506891407. The cubic root of 2956124160 is about 1435.1839105141.

The spelling of 2956124160 in words is "two billion, nine hundred fifty-six million, one hundred twenty-four thousand, one hundred sixty".