2013577344 has 96 divisors (see below), whose sum is σ = 5864367600. Its totient is φ = 663074304.

The previous prime is 2013577303. The next prime is 2013577369. The reversal of 2013577344 is 4437753102.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2013577299 and 2013577308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85087 + ... + 106145.

Almost surely, 2^2013577344 is an apocalyptic number.

2013577344 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 2013577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932183800).

2013577344 is an abundant number, since it is smaller than the sum of its proper divisors (3850790256).

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

2013577344 is a wasteful number, since it uses less digits than its factorization.

2013577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21162 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2013577344 is about 44872.9021125222. The cubic root of 2013577344 is about 1262.7656860569.

It can be divided in two parts, 20135 and 77344, that added together give a palindrome (97479).

The spelling of 2013577344 in words is "two billion, thirteen million, five hundred seventy-seven thousand, three hundred forty-four".