2013775140 has 96 divisors (see below), whose sum is σ = 6213626496. Its totient is φ = 484162560.

The previous prime is 2013775139. The next prime is 2013775163. The reversal of 2013775140 is 415773102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013775098 and 2013775107.

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 31 ways as a sum of consecutive naturals, for example, 3520 + ... + 63560.

It is an arithmetic number, because the mean of its divisors is an integer number (64725276).

Almost surely, 2^2013775140 is an apocalyptic number.

2013775140 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 2013775140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106813248).

2013775140 is an abundant number, since it is smaller than the sum of its proper divisors (4199851356).

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

2013775140 is a wasteful number, since it uses less digits than its factorization.

2013775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60109 (or 60107 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 2013775140 is about 44875.1060165879. The cubic root of 2013775140 is about 1262.8070323412.

The spelling of 2013775140 in words is "two billion, thirteen million, seven hundred seventy-five thousand, one hundred forty".