2013242400 has 432 divisors, whose sum is σ = 7750144584. Its totient is φ = 488816640.

The previous prime is 2013242383. The next prime is 2013242419. The reversal of 2013242400 is 42423102.

2013242400 is a `hidden beast` number, since 20 + 1 + 3 + 242 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 104976 + 2013137424 = 324^2 + 44868^2 .

It is a super-2 number, since 2×2013242400² = 8106289922315520000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 12823122 + ... + 12823278.

Almost surely, 2^2013242400 is an apocalyptic number.

2013242400 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 2013242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875072292).

2013242400 is an abundant number, since it is smaller than the sum of its proper divisors (5736902184).

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

2013242400 is a wasteful number, since it uses less digits than its factorization.

2013242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013242400 is about 44869.1698162558. The cubic root of 2013242400 is about 1262.6956648672.

Adding to 2013242400 its reverse (42423102), we get a palindrome (2055665502).

The spelling of 2013242400 in words is "two billion, thirteen million, two hundred forty-two thousand, four hundred".