2611113598080 has 384 divisors, whose sum is σ = 10013786352000. Its totient is φ = 642734936064.

The previous prime is 2611113598069. The next prime is 2611113598081. The reversal of 2611113598080 is 808953111162.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2611113598081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2473261 + ... + 3367379.

It is an arithmetic number, because the mean of its divisors is an integer number (26077568625).

Almost surely, 2^{2611113598080} is an apocalyptic number.

2611113598080 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 2611113598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006893176000).

2611113598080 is an abundant number, since it is smaller than the sum of its proper divisors (7402672753920).

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

2611113598080 is a wasteful number, since it uses less digits than its factorization.

2611113598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894173 (or 894142 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 2611113598080 in words is "two trillion, six hundred eleven billion, one hundred thirteen million, five hundred ninety-eight thousand, eighty".