2013413376 has 240 divisors, whose sum is σ = 6077361024. Its totient is φ = 588251136.

The previous prime is 2013413359. The next prime is 2013413393. The reversal of 2013413376 is 6733143102.

It is an interprime number because it is at equal distance from previous prime (2013413359) and next prime (2013413393).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14696380 + ... + 14696516.

Almost surely, 2^2013413376 is an apocalyptic number.

2013413376 is a gapful number since it is divisible by the number (26) 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 2013413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038680512).

2013413376 is an abundant number, since it is smaller than the sum of its proper divisors (4063947648).

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

2013413376 is a wasteful number, since it uses less digits than its factorization.

2013413376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2013413376 is about 44871.0750484095. The cubic root of 2013413376 is about 1262.7314089555.

Adding to 2013413376 its reverse (6733143102), we get a palindrome (8746556478).

The spelling of 2013413376 in words is "two billion, thirteen million, four hundred thirteen thousand, three hundred seventy-six".