2148765696 has 312 divisors, whose sum is σ = 7748554944. Its totient is φ = 557383680.

The previous prime is 2148765683. The next prime is 2148765721. The reversal of 2148765696 is 6965678412.

2148765696 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 76 + 569 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838150 + ... + 2838906.

It is an arithmetic number, because the mean of its divisors is an integer number (24835112).

Almost surely, 2^2148765696 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 2148765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874277472).

2148765696 is an abundant number, since it is smaller than the sum of its proper divisors (5599789248).

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

2148765696 is a wasteful number, since it uses less digits than its factorization.

2148765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2148765696 is about 46354.7807243223. The cubic root of 2148765696 is about 1290.4158457420.

The spelling of 2148765696 in words is "two billion, one hundred forty-eight million, seven hundred sixty-five thousand, six hundred ninety-six".