2762116896 has 192 divisors, whose sum is σ = 9284889600. Its totient is φ = 697973760.

The previous prime is 2762116891. The next prime is 2762116909. The reversal of 2762116896 is 6986112672.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2762116891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268455 + ... + 278553.

It is an arithmetic number, because the mean of its divisors is an integer number (48358800).

Almost surely, 2^2762116896 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 2762116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642444800).

2762116896 is an abundant number, since it is smaller than the sum of its proper divisors (6522772704).

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

2762116896 is a wasteful number, since it uses less digits than its factorization.

2762116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10159 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 2762116896 is about 52555.8454979082. The cubic root of 2762116896 is about 1403.0743486632.

The spelling of 2762116896 in words is "two billion, seven hundred sixty-two million, one hundred sixteen thousand, eight hundred ninety-six".