2611740672 has 228 divisors, whose sum is σ = 8015299656. Its totient is φ = 849346560.

The previous prime is 2611740647. The next prime is 2611740683. The reversal of 2611740672 is 2760471162.

It is a super-3 number, since 3×2611740672³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63700972 + ... + 63701012.

Almost surely, 2^2611740672 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 2611740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007649828).

2611740672 is an abundant number, since it is smaller than the sum of its proper divisors (5403558984).

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

2611740672 is an frugal number, since it uses more digits than its factorization.

2611740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2611740672 is about 51105.1922215346. The cubic root of 2611740672 is about 1377.1355328170.

The spelling of 2611740672 in words is "two billion, six hundred eleven million, seven hundred forty thousand, six hundred seventy-two".