2013750720 has 672 divisors, whose sum is σ = 7988198400. Its totient is φ = 480743424.

The previous prime is 2013750719. The next prime is 2013750743. The reversal of 2013750720 is 270573102.

2013750720 is a `hidden beast` number, since 2 + 0 + 137 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 42845737 + ... + 42845783.

It is an arithmetic number, because the mean of its divisors is an integer number (11887200).

Almost surely, 2^2013750720 is an apocalyptic number.

2013750720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

2013750720 is an abundant number, since it is smaller than the sum of its proper divisors (5974447680).

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

2013750720 is a wasteful number, since it uses less digits than its factorization.

2013750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2013750720 is about 44874.8339272693. The cubic root of 2013750720 is about 1262.8019278533.

The spelling of 2013750720 in words is "two billion, thirteen million, seven hundred fifty thousand, seven hundred twenty".