2013924280384 has 63 divisors (see below), whose sum is σ = 4074424450957. Its totient is φ = 987667675904.

The previous prime is 2013924280337. The next prime is 2013924280387. The reversal of 2013924280384 is 4830824293102.

The square root of 2013924280384 is 1419128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1451832206400 + 562092073984 = 1204920^2 + 749728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013924280387) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 601708599 + ... + 601711945.

Almost surely, 2^{2013924280384} is an apocalyptic number.

2013924280384 is the 1419128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013924280384

2013924280384 is an abundant number, since it is smaller than the sum of its proper divisors (2060500170573).

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

2013924280384 is an frugal number, since it uses more digits than its factorization.

2013924280384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 2013924280384 in words is "two trillion, thirteen billion, nine hundred twenty-four million, two hundred eighty thousand, three hundred eighty-four".