2013302040 has 128 divisors (see below), whose sum is σ = 6150643200. Its totient is φ = 527109120.

The previous prime is 2013302021. The next prime is 2013302041. The reversal of 2013302040 is 402033102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013302041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2723991 + ... + 2724729.

It is an arithmetic number, because the mean of its divisors is an integer number (48051900).

Almost surely, 2^2013302040 is an apocalyptic number.

2013302040 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 2013302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075321600).

2013302040 is an abundant number, since it is smaller than the sum of its proper divisors (4137341160).

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

2013302040 is a wasteful number, since it uses less digits than its factorization.

2013302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2013302040 is about 44869.8344102137. The cubic root of 2013302040 is about 1262.7081333816.

Adding to 2013302040 its reverse (402033102), we get a palindrome (2415335142).

The spelling of 2013302040 in words is "two billion, thirteen million, three hundred two thousand, forty".