2765993856 has 128 divisors (see below), whose sum is σ = 7762444800. Its totient is φ = 870248448.

The previous prime is 2765993849. The next prime is 2765993863. The reversal of 2765993856 is 6583995672.

2765993856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2765993849) and next prime (2765993863).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2765993856² = 15301444022859497472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2765993856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677116 + ... + 2678148.

It is an arithmetic number, because the mean of its divisors is an integer number (60644100).

Almost surely, 2^2765993856 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 2765993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881222400).

2765993856 is an abundant number, since it is smaller than the sum of its proper divisors (4996450944).

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

2765993856 is a wasteful number, since it uses less digits than its factorization.

2765993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1424 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 60.

The square root of 2765993856 is about 52592.7167581216. The cubic root of 2765993856 is about 1403.7305024084.

The spelling of 2765993856 in words is "two billion, seven hundred sixty-five million, nine hundred ninety-three thousand, eight hundred fifty-six".