2013435977728 has 224 divisors, whose sum is σ = 4655204547840. Its totient is φ = 852956282880.

The previous prime is 2013435977687. The next prime is 2013435977731. The reversal of 2013435977728 is 8277795343102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252723403 + ... + 3252724021.

It is an arithmetic number, because the mean of its divisors is an integer number (20782163160).

Almost surely, 2^{2013435977728} is an apocalyptic number.

2013435977728 is a gapful number since it is divisible by the number (28) 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 2013435977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327602273920).

2013435977728 is an abundant number, since it is smaller than the sum of its proper divisors (2641768570112).

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

2013435977728 is an equidigital number, since it uses as much as digits as its factorization.

2013435977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 2013435977728 in words is "two trillion, thirteen billion, four hundred thirty-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight".