2013142410 has 80 divisors (see below), whose sum is σ = 5436288000. Its totient is φ = 534540384.

The previous prime is 2013142379. The next prime is 2013142433. The reversal of 2013142410 is 142413102.

2013142410 is a `hidden beast` number, since 201 + 31 + 424 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188391 + ... + 198789.

It is an arithmetic number, because the mean of its divisors is an integer number (67953600).

Almost surely, 2^2013142410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718144000).

2013142410 is an abundant number, since it is smaller than the sum of its proper divisors (3423145590).

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

2013142410 is a wasteful number, since it uses less digits than its factorization.

2013142410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013142410 is about 44868.0555629504. The cubic root of 2013142410 is about 1262.6747601101.

Adding to 2013142410 its reverse (142413102), we get a palindrome (2155555512).

The spelling of 2013142410 in words is "two billion, thirteen million, one hundred forty-two thousand, four hundred ten".