2014742800 has 90 divisors (see below), whose sum is σ = 5630746938. Its totient is φ = 690762240.

The previous prime is 2014742791. The next prime is 2014742801. The reversal of 2014742800 is 82474102.

It can be written as a sum of positive squares in 3 ways, for example, as 451647504 + 1563095296 = 21252^2 + 39536^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2014742801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31797 + ... + 70996.

Almost surely, 2^2014742800 is an apocalyptic number.

2014742800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014742800 is an abundant number, since it is smaller than the sum of its proper divisors (3616004138).

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

2014742800 is a wasteful number, since it uses less digits than its factorization.

2014742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102825 (or 102807 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 2014742800 is about 44885.8864232400. The cubic root of 2014742800 is about 1263.0092681245.

The spelling of 2014742800 in words is "two billion, fourteen million, seven hundred forty-two thousand, eight hundred".