2973002400 has 144 divisors (see below), whose sum is σ = 10752436800. Its totient is φ = 792794880.

The previous prime is 2973002353. The next prime is 2973002419. The reversal of 2973002400 is 42003792.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47220 + ... + 90419.

It is an arithmetic number, because the mean of its divisors is an integer number (74669700).

Almost surely, 2^2973002400 is an apocalyptic number.

2973002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2973002400 is an abundant number, since it is smaller than the sum of its proper divisors (7779434400).

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

2973002400 is a wasteful number, since it uses less digits than its factorization.

2973002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137668 (or 137649 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2973002400 is about 54525.2455290208. The cubic root of 2973002400 is about 1437.9101629820.

The spelling of 2973002400 in words is "two billion, nine hundred seventy-three million, two thousand, four hundred".