2784605040 has 560 divisors, whose sum is σ = 11709964800. Its totient is φ = 601302528.

The previous prime is 2784605029. The next prime is 2784605053. The reversal of 2784605040 is 405064872.

2784605040 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 605 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 2784604986 and 2784605004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7756381 + ... + 7756739.

Almost surely, 2^2784605040 is an apocalyptic number.

2784605040 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 2784605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854982400).

2784605040 is an abundant number, since it is smaller than the sum of its proper divisors (8925359760).

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

2784605040 is a wasteful number, since it uses less digits than its factorization.

2784605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2784605040 is about 52769.3570171174. The cubic root of 2784605040 is about 1406.8718337890.

The spelling of 2784605040 in words is "two billion, seven hundred eighty-four million, six hundred five thousand, forty".