2013909408 has 576 divisors, whose sum is σ = 7469280000. Its totient is φ = 512096256.

The previous prime is 2013909377. The next prime is 2013909409. The reversal of 2013909408 is 8049093102.

It is a super-2 number, since 2×2013909408² = 8111662207261820928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2013909409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54429966 + ... + 54430002.

It is an arithmetic number, because the mean of its divisors is an integer number (12967500).

Almost surely, 2^2013909408 is an apocalyptic number.

2013909408 is a gapful number since it is divisible by the number (28) 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 2013909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640000).

2013909408 is an abundant number, since it is smaller than the sum of its proper divisors (5455370592).

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

2013909408 is a wasteful number, since it uses less digits than its factorization.

2013909408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2013909408 is about 44876.6020104018. The cubic root of 2013909408 is about 1262.8350975081.

The spelling of 2013909408 in words is "two billion, thirteen million, nine hundred nine thousand, four hundred eight".