2146540800 has 108 divisors (see below), whose sum is σ = 7084095200. Its totient is φ = 572405760.

The previous prime is 2146540793. The next prime is 2146540801. The reversal of 2146540800 is 80456412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36700 + ... + 75099.

Almost surely, 2^2146540800 is an apocalyptic number.

2146540800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146540800 is an abundant number, since it is smaller than the sum of its proper divisors (4937554400).

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

2146540800 is a wasteful number, since it uses less digits than its factorization.

2146540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111828 (or 111809 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2146540800 is about 46330.7759486068. The cubic root of 2146540800 is about 1289.9703136008.

The spelling of 2146540800 in words is "two billion, one hundred forty-six million, five hundred forty thousand, eight hundred".