2091948768 has 480 divisors, whose sum is σ = 7769361600. Its totient is φ = 548674560.

The previous prime is 2091948767. The next prime is 2091948799. The reversal of 2091948768 is 8678491902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091948767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11557638 + ... + 11557818.

It is an arithmetic number, because the mean of its divisors is an integer number (16186170).

Almost surely, 2^2091948768 is an apocalyptic number.

2091948768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884680800).

2091948768 is an abundant number, since it is smaller than the sum of its proper divisors (5677412832).

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

2091948768 is a wasteful number, since it uses less digits than its factorization.

2091948768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2091948768 is about 45737.8264459517. The cubic root of 2091948768 is about 1278.9405230351.

The spelling of 2091948768 in words is "two billion, ninety-one million, nine hundred forty-eight thousand, seven hundred sixty-eight".