2996756400 has 120 divisors (see below), whose sum is σ = 10472347584. Its totient is φ = 726483200.

The previous prime is 2996756327. The next prime is 2996756401. The reversal of 2996756400 is 46576992.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2996756400.

It is not an unprimeable number, because it can be changed into a prime (2996756401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100314 + ... + 126713.

Almost surely, 2^2996756400 is an apocalyptic number.

2996756400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2996756400 is an abundant number, since it is smaller than the sum of its proper divisors (7475591184).

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

2996756400 is a wasteful number, since it uses less digits than its factorization.

2996756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227059 (or 227048 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2996756400 is about 54742.6378611773. The cubic root of 2996756400 is about 1441.7295961185.

The spelling of 2996756400 in words is "two billion, nine hundred ninety-six million, seven hundred fifty-six thousand, four hundred".