2013915744 has 192 divisors, whose sum is σ = 6421524480. Its totient is φ = 611297280.

The previous prime is 2013915733. The next prime is 2013915749. The reversal of 2013915744 is 4475193102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013915699 and 2013915708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013915749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453117 + ... + 457539.

It is an arithmetic number, because the mean of its divisors is an integer number (33445440).

Almost surely, 2^2013915744 is an apocalyptic number.

2013915744 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 2013915744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210762240).

2013915744 is an abundant number, since it is smaller than the sum of its proper divisors (4407608736).

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

2013915744 is a wasteful number, since it uses less digits than its factorization.

2013915744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2013915744 is about 44876.6726039264. The cubic root of 2013915744 is about 1262.8364218502.

The spelling of 2013915744 in words is "two billion, thirteen million, nine hundred fifteen thousand, seven hundred forty-four".