2013246144 has 672 divisors, whose sum is σ = 7783372800. Its totient is φ = 505128960.

The previous prime is 2013246073. The next prime is 2013246211. The reversal of 2013246144 is 4416423102.

It is a happy number.

2013246144 is a `hidden beast` number, since 20 + 1 + 3 + 24 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34122787 + ... + 34122845.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2^2013246144 is an apocalyptic number.

2013246144 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 2013246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2013246144 is an abundant number, since it is smaller than the sum of its proper divisors (5770126656).

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

2013246144 is a wasteful number, since it uses less digits than its factorization.

2013246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2013246144 is about 44869.2115375343. The cubic root of 2013246144 is about 1262.6964476061.

Adding to 2013246144 its reverse (4416423102), we get a palindrome (6429669246).

The spelling of 2013246144 in words is "two billion, thirteen million, two hundred forty-six thousand, one hundred forty-four".