2768351040 has 672 divisors, whose sum is σ = 12258812160. Its totient is φ = 582930432.

The previous prime is 2768351039. The next prime is 2768351059. The reversal of 2768351040 is 401538672.

2768351040 is a `hidden beast` number, since 27 + 6 + 83 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2768350986 and 2768351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503429 + ... + 5503931.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2^2768351040 is an apocalyptic number.

2768351040 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 2768351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129406080).

2768351040 is an abundant number, since it is smaller than the sum of its proper divisors (9490461120).

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

2768351040 is a wasteful number, since it uses less digits than its factorization.

2768351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2768351040 is about 52615.1217807200. The cubic root of 2768351040 is about 1404.1291429166.

The spelling of 2768351040 in words is "two billion, seven hundred sixty-eight million, three hundred fifty-one thousand, forty".