2761638912 has 132 divisors (see below), whose sum is σ = 8249942220. Its totient is φ = 888717312.

The previous prime is 2761638907. The next prime is 2761638947. The reversal of 2761638912 is 2198361672.

2761638912 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 638 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1751924736 + 1009714176 = 41856^2 + 31776^2 .

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, 262098 + ... + 272430.

Almost surely, 2^2761638912 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 2761638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124971110).

2761638912 is an abundant number, since it is smaller than the sum of its proper divisors (5488303308).

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

2761638912 is a wasteful number, since it uses less digits than its factorization.

2761638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10367 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2761638912 is about 52551.2979097567. The cubic root of 2761638912 is about 1402.9934100446.

The spelling of 2761638912 in words is "two billion, seven hundred sixty-one million, six hundred thirty-eight thousand, nine hundred twelve".