2613305904384 has 288 divisors, whose sum is σ = 8210024718336. Its totient is φ = 722149908480.

The previous prime is 2613305904383. The next prime is 2613305904409. The reversal of 2613305904384 is 4834095033162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613305904383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377805694 + ... + 377812610.

It is an arithmetic number, because the mean of its divisors is an integer number (28507030272).

Almost surely, 2^{2613305904384} is an apocalyptic number.

2613305904384 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 2613305904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105012359168).

2613305904384 is an abundant number, since it is smaller than the sum of its proper divisors (5596718813952).

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

2613305904384 is a wasteful number, since it uses less digits than its factorization.

2613305904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 2613305904384 in words is "two trillion, six hundred thirteen billion, three hundred five million, nine hundred four thousand, three hundred eighty-four".