2761693320 has 192 divisors, whose sum is σ = 8985625920. Its totient is φ = 678440448.

The previous prime is 2761693309. The next prime is 2761693327. The reversal of 2761693320 is 233961672.

It is not an unprimeable number, because it can be changed into a prime (2761693327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1601979 + ... + 1603701.

It is an arithmetic number, because the mean of its divisors is an integer number (46800135).

Almost surely, 2^2761693320 is an apocalyptic number.

2761693320 is a gapful number since it is divisible by the number (20) 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 2761693320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492812960).

2761693320 is an abundant number, since it is smaller than the sum of its proper divisors (6223932600).

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

2761693320 is a wasteful number, since it uses less digits than its factorization.

2761693320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 2761693320 is about 52551.8155728230. The cubic root of 2761693320 is about 1403.0026236030.

The spelling of 2761693320 in words is "two billion, seven hundred sixty-one million, six hundred ninety-three thousand, three hundred twenty".