2920864800 has 144 divisors (see below), whose sum is σ = 10865679552. Its totient is φ = 667622400.

The previous prime is 2920864787. The next prime is 2920864801. The reversal of 2920864800 is 84680292.

It is not an unprimeable number, because it can be changed into a prime (2920864801) 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 23 ways as a sum of consecutive naturals, for example, 70131 + ... + 103730.

It is an arithmetic number, because the mean of its divisors is an integer number (75456108).

Almost surely, 2^2920864800 is an apocalyptic number.

2920864800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2920864800 is an abundant number, since it is smaller than the sum of its proper divisors (7944814752).

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

2920864800 is a wasteful number, since it uses less digits than its factorization.

2920864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173891 (or 173878 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2920864800 is about 54045.0256730441. The cubic root of 2920864800 is about 1429.4549897920.

The spelling of 2920864800 in words is "two billion, nine hundred twenty million, eight hundred sixty-four thousand, eight hundred".