2787893640 has 320 divisors, whose sum is σ = 10845394560. Its totient is φ = 629130240.

The previous prime is 2787893639. The next prime is 2787893657. The reversal of 2787893640 is 463987872.

2787893640 is a `hidden beast` number, since 278 + 7 + 8 + 9 + 364 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1881700 + ... + 1883180.

It is an arithmetic number, because the mean of its divisors is an integer number (33891858).

Almost surely, 2^2787893640 is an apocalyptic number.

2787893640 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 2787893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422697280).

2787893640 is an abundant number, since it is smaller than the sum of its proper divisors (8057500920).

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

2787893640 is a wasteful number, since it uses less digits than its factorization.

2787893640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2787893640 is about 52800.5079521021. The cubic root of 2787893640 is about 1407.4254513274.

The spelling of 2787893640 in words is "two billion, seven hundred eighty-seven million, eight hundred ninety-three thousand, six hundred forty".