2091675768 has 128 divisors (see below), whose sum is σ = 6449587200. Its totient is φ = 550480896.

The previous prime is 2091675757. The next prime is 2091675797. The reversal of 2091675768 is 8675761902.

It is a self number, because there is not a number n which added to its sum of digits gives 2091675768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1622068 + ... + 1623356.

It is an arithmetic number, because the mean of its divisors is an integer number (50387400).

Almost surely, 2^2091675768 is an apocalyptic number.

2091675768 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 2091675768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224793600).

2091675768 is an abundant number, since it is smaller than the sum of its proper divisors (4357911432).

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

2091675768 is a wasteful number, since it uses less digits than its factorization.

2091675768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 2091675768 is about 45734.8419479066. The cubic root of 2091675768 is about 1278.8848865623.

It can be divided in two parts, 2091675 and 768, that multiplied together give a square (1606406400 = 40080²).

The spelling of 2091675768 in words is "two billion, ninety-one million, six hundred seventy-five thousand, seven hundred sixty-eight".