2013342144 has 224 divisors, whose sum is σ = 6179880960. Its totient is φ = 572083200.

The previous prime is 2013342143. The next prime is 2013342157. The reversal of 2013342144 is 4412433102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013342143) 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, 5256577 + ... + 5256959.

Almost surely, 2^2013342144 is an apocalyptic number.

2013342144 is a gapful number since it is divisible by the number (24) 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 2013342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089940480).

2013342144 is an abundant number, since it is smaller than the sum of its proper divisors (4166538816).

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

2013342144 is a wasteful number, since it uses less digits than its factorization.

2013342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2013342144 is about 44870.2813006560. The cubic root of 2013342144 is about 1262.7165175038.

Adding to 2013342144 its reverse (4412433102), we get a palindrome (6425775246).

The spelling of 2013342144 in words is "two billion, thirteen million, three hundred forty-two thousand, one hundred forty-four".