2996561960 has 64 divisors (see below), whose sum is σ = 7718699520. Its totient is φ = 1025625600.

The previous prime is 2996561917. The next prime is 2996561977. The reversal of 2996561960 is 691656992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159377 + ... + 177183.

It is an arithmetic number, because the mean of its divisors is an integer number (120604680).

Almost surely, 2^2996561960 is an apocalyptic number.

2996561960 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 2996561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859349760).

2996561960 is an abundant number, since it is smaller than the sum of its proper divisors (4722137560).

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

2996561960 is a wasteful number, since it uses less digits than its factorization.

2996561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18422 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 53.

The square root of 2996561960 is about 54740.8618857979. The cubic root of 2996561960 is about 1441.6984139637.

The spelling of 2996561960 in words is "two billion, nine hundred ninety-six million, five hundred sixty-one thousand, nine hundred sixty".