2769863040 has 640 divisors, whose sum is σ = 11996424000. Its totient is φ = 594542592.

The previous prime is 2769863039. The next prime is 2769863053. The reversal of 2769863040 is 403689672.

2769863040 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 8 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168736 + ... + 6169184.

It is a vampire number, since it can be written as 40320 ⋅ 68697 (with its own digits).

Almost surely, 2^2769863040 is an apocalyptic number.

2769863040 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 2769863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998212000).

2769863040 is an abundant number, since it is smaller than the sum of its proper divisors (9226560960).

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

2769863040 is a wasteful number, since it uses less digits than its factorization.

2769863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2769863040 is about 52629.4883121620. The cubic root of 2769863040 is about 1404.3847291042.

The spelling of 2769863040 in words is "two billion, seven hundred sixty-nine million, eight hundred sixty-three thousand, forty".