2611291776 has 128 divisors (see below), whose sum is σ = 7214011200. Its totient is φ = 835903488.

The previous prime is 2611291759. The next prime is 2611291799. The reversal of 2611291776 is 6771921162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2527356 + ... + 2528388.

Almost surely, 2^2611291776 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 2611291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607005600).

2611291776 is an abundant number, since it is smaller than the sum of its proper divisors (4602719424).

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

2611291776 is a wasteful number, since it uses less digits than its factorization.

2611291776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 2611291776 is about 51100.8001502912. The cubic root of 2611291776 is about 1377.0566293665.

It can be divided in two parts, 261 and 1291776, that multiplied together give a cube (337153536 = 696³).

The spelling of 2611291776 in words is "two billion, six hundred eleven million, two hundred ninety-one thousand, seven hundred seventy-six".