2954568960 has 864 divisors, whose sum is σ = 12856596480. Its totient is φ = 635019264.

The previous prime is 2954568949. The next prime is 2954568971. The reversal of 2954568960 is 698654592.

It is a happy number.

2954568960 is a `hidden beast` number, since 2 + 9 + 545 + 6 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2954568949) and next prime (2954568971).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 2954568897 and 2954568906.

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, 50077411 + ... + 50077469.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^2954568960 is an apocalyptic number.

2954568960 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 2954568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

2954568960 is an abundant number, since it is smaller than the sum of its proper divisors (9902027520).

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

2954568960 is an equidigital number, since it uses as much as digits as its factorization.

2954568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2954568960 is about 54355.9468687650. The cubic root of 2954568960 is about 1434.9321856852.

The spelling of 2954568960 in words is "two billion, nine hundred fifty-four million, five hundred sixty-eight thousand, nine hundred sixty".