2013774400 has 84 divisors (see below), whose sum is σ = 5405658480. Its totient is φ = 732275200.

The previous prime is 2013774391. The next prime is 2013774401. The reversal of 2013774400 is 44773102.

It is not an unprimeable number, because it can be changed into a prime (2013774401) 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 11 ways as a sum of consecutive naturals, for example, 39610 + ... + 74809.

Almost surely, 2^2013774400 is an apocalyptic number.

2013774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013774400 is an abundant number, since it is smaller than the sum of its proper divisors (3391884080).

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

2013774400 is a wasteful number, since it uses less digits than its factorization.

2013774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114452 (or 114437 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2013774400 is about 44875.0977714812. The cubic root of 2013774400 is about 1262.8068776604.

The spelling of 2013774400 in words is "two billion, thirteen million, seven hundred seventy-four thousand, four hundred".