2996462880 has 72 divisors (see below), whose sum is σ = 10225434492. Its totient is φ = 799056384.

The previous prime is 2996462873. The next prime is 2996462881. The reversal of 2996462880 is 882646992.

It is a happy number.

2996462880 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 4 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2985092496 + 11370384 = 54636^2 + 3372^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2996462881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038999 + ... + 1041878.

Almost surely, 2^2996462880 is an apocalyptic number.

2996462880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2996462880 is an abundant number, since it is smaller than the sum of its proper divisors (7228971612).

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

2996462880 is a wasteful number, since it uses less digits than its factorization.

2996462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080898 (or 2080887 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2996462880 is about 54739.9568870857. The cubic root of 2996462880 is about 1441.6825240811.

The spelling of 2996462880 in words is "two billion, nine hundred ninety-six million, four hundred sixty-two thousand, eight hundred eighty".