2760071616 has 168 divisors, whose sum is σ = 8270955264. Its totient is φ = 879137280.

The previous prime is 2760071603. The next prime is 2760071617. The reversal of 2760071616 is 6161700672.

2760071616 is a `hidden beast` number, since 27 + 600 + 7 + 16 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760071617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162911 + ... + 1165281.

Almost surely, 2^2760071616 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 2760071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135477632).

2760071616 is an abundant number, since it is smaller than the sum of its proper divisors (5510883648).

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

2760071616 is a wasteful number, since it uses less digits than its factorization.

2760071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2760071616 is about 52536.3837354647. The cubic root of 2760071616 is about 1402.7279490703.

The spelling of 2760071616 in words is "two billion, seven hundred sixty million, seventy-one thousand, six hundred sixteen".