2613660000 has 480 divisors, whose sum is σ = 10076774400. Its totient is φ = 592704000.

The previous prime is 2613659959. The next prime is 2613660001. The reversal of 2613660000 is 663162.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613660001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20579937 + ... + 20580063.

It is an arithmetic number, because the mean of its divisors is an integer number (20993280).

Almost surely, 2^2613660000 is an apocalyptic number.

2613660000 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 2613660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038387200).

2613660000 is an abundant number, since it is smaller than the sum of its proper divisors (7463114400).

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

2613660000 is an equidigital number, since it uses as much as digits as its factorization.

2613660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2613660000 is about 51123.9669822286. The cubic root of 2613660000 is about 1377.4727954461.

It can be divided in two parts, 26136 and 60000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 2613660000 in words is "two billion, six hundred thirteen million, six hundred sixty thousand".