2760813468 has 108 divisors (see below), whose sum is σ = 8545478760. Its totient is φ = 747278784.

The previous prime is 2760813463. The next prime is 2760813509. The reversal of 2760813468 is 8643180672.

2760813468 is a `hidden beast` number, since 2 + 7 + 608 + 1 + 34 + 6 + 8 = 666.

2760813468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760813463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7671 + ... + 74702.

Almost surely, 2^2760813468 is an apocalyptic number.

2760813468 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 2760813468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272739380).

2760813468 is an abundant number, since it is smaller than the sum of its proper divisors (5784665292).

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

2760813468 is a wasteful number, since it uses less digits than its factorization.

2760813468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82416 (or 82404 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2760813468 is about 52543.4436252517. The cubic root of 2760813468 is about 1402.8536128768.

The spelling of 2760813468 in words is "two billion, seven hundred sixty million, eight hundred thirteen thousand, four hundred sixty-eight".