2760894864 has 360 divisors, whose sum is σ = 10077063360. Its totient is φ = 689015808.

The previous prime is 2760894847. The next prime is 2760894869. The reversal of 2760894864 is 4684980672.

2760894864 is a `hidden beast` number, since 27 + 60 + 89 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2760894864.

It is not an unprimeable number, because it can be changed into a prime (2760894869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3236262 + ... + 3237114.

Almost surely, 2^2760894864 is an apocalyptic number.

2760894864 is a gapful number since it is divisible by the number (24) 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 2760894864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038531680).

2760894864 is an abundant number, since it is smaller than the sum of its proper divisors (7316168496).

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

2760894864 is a wasteful number, since it uses less digits than its factorization.

2760894864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2760894864 is about 52544.2181785970. The cubic root of 2760894864 is about 1402.8673993389.

Subtracting from 2760894864 its product of nonzero digits (4644864), we obtain a square (2756250000 = 52500²).

The spelling of 2760894864 in words is "two billion, seven hundred sixty million, eight hundred ninety-four thousand, eight hundred sixty-four".