2968054560 has 72 divisors (see below), whose sum is σ = 10128491100. Its totient is φ = 791480832.

The previous prime is 2968054549. The next prime is 2968054603. The reversal of 2968054560 is 654508692.

2968054560 is a `hidden beast` number, since 2 + 9 + 6 + 80 + 5 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2688629904 + 279424656 = 51852^2 + 16716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2968054560² = 17618695742273587200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029135 + ... + 1032014.

Almost surely, 2^2968054560 is an apocalyptic number.

2968054560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968054560 is an abundant number, since it is smaller than the sum of its proper divisors (7160436540).

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

2968054560 is a wasteful number, since it uses less digits than its factorization.

2968054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061170 (or 2061159 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2968054560 is about 54479.8546253567. The cubic root of 2968054560 is about 1437.1120360462.

The spelling of 2968054560 in words is "two billion, nine hundred sixty-eight million, fifty-four thousand, five hundred sixty".