2611601076 has 192 divisors, whose sum is σ = 7431782400. Its totient is φ = 698181120.

The previous prime is 2611601071. The next prime is 2611601089. The reversal of 2611601076 is 6701061162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611601071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17527450 + ... + 17527598.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 2^2611601076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611601076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715891200).

2611601076 is an abundant number, since it is smaller than the sum of its proper divisors (4820181324).

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

2611601076 is a wasteful number, since it uses less digits than its factorization.

2611601076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2611601076 is about 51103.8264320784. The cubic root of 2611601076 is about 1377.1109966856.

The spelling of 2611601076 in words is "two billion, six hundred eleven million, six hundred one thousand, seventy-six".