2783406240 has 240 divisors, whose sum is σ = 9870077448. Its totient is φ = 738699264.

The previous prime is 2783406229. The next prime is 2783406281. The reversal of 2783406240 is 426043872.

2783406240 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 406 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2736126864 + 47279376 = 52308^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2783406195 and 2783406204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3796914 + ... + 3797646.

Almost surely, 2^2783406240 is an apocalyptic number.

2783406240 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 2783406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935038724).

2783406240 is an abundant number, since it is smaller than the sum of its proper divisors (7086671208).

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

2783406240 is a wasteful number, since it uses less digits than its factorization.

2783406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2783406240 is about 52757.9969293756. The cubic root of 2783406240 is about 1406.6699140655.

The spelling of 2783406240 in words is "two billion, seven hundred eighty-three million, four hundred six thousand, two hundred forty".