2946054240 has 144 divisors (see below), whose sum is σ = 10425896208. Its totient is φ = 785604096.

The previous prime is 2946054239. The next prime is 2946054247. The reversal of 2946054240 is 424506492.

2946054240 is a `hidden beast` number, since 2 + 9 + 4 + 605 + 4 + 2 + 40 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2946054195 and 2946054204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946054247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994 + ... + 76766.

It is an arithmetic number, because the mean of its divisors is an integer number (72402057).

Almost surely, 2^2946054240 is an apocalyptic number.

2946054240 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 2946054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212948104).

2946054240 is an abundant number, since it is smaller than the sum of its proper divisors (7479841968).

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

2946054240 is an equidigital number, since it uses as much as digits as its factorization.

2946054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75803 (or 75783 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2946054240 is about 54277.5666366870. The cubic root of 2946054240 is about 1433.5524241742.

The spelling of 2946054240 in words is "two billion, nine hundred forty-six million, fifty-four thousand, two hundred forty".