2613604420 has 144 divisors (see below), whose sum is σ = 6624672768. Its totient is φ = 847560960.

The previous prime is 2613604417. The next prime is 2613604493. The reversal of 2613604420 is 244063162.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15107454 + ... + 15107626.

It is an arithmetic number, because the mean of its divisors is an integer number (46004672).

Almost surely, 2^2613604420 is an apocalyptic number.

2613604420 is a gapful number since it is divisible by the number (20) 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 2613604420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312336384).

2613604420 is an abundant number, since it is smaller than the sum of its proper divisors (4011068348).

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

2613604420 is a wasteful number, since it uses less digits than its factorization.

2613604420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2613604420 is about 51123.4233986731. The cubic root of 2613604420 is about 1377.4630312991.

Adding to 2613604420 its reverse (244063162), we get a palindrome (2857667582).

The spelling of 2613604420 in words is "two billion, six hundred thirteen million, six hundred four thousand, four hundred twenty".