2815140800 has 42 divisors (see below), whose sum is σ = 6927009768. Its totient is φ = 1126055680.

The previous prime is 2815140799. The next prime is 2815140803. The reversal of 2815140800 is 80415182.

2815140800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2815140803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 878132 + ... + 881331.

It is an arithmetic number, because the mean of its divisors is an integer number (164928804).

Almost surely, 2^2815140800 is an apocalyptic number.

2815140800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2815140800 is an abundant number, since it is smaller than the sum of its proper divisors (4111868968).

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

2815140800 is a wasteful number, since it uses less digits than its factorization.

2815140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759485 (or 1759470 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 2815140800 is about 53057.9004484723. The cubic root of 2815140800 is about 1411.9956985319.

Adding to 2815140800 its reverse (80415182), we get a palindrome (2895555982).

The spelling of 2815140800 in words is "two billion, eight hundred fifteen million, one hundred forty thousand, eight hundred".