2782009440 has 576 divisors, whose sum is σ = 11623772160. Its totient is φ = 592220160.

The previous prime is 2782009427. The next prime is 2782009441. The reversal of 2782009440 is 449002872.

2782009440 is a `hidden beast` number, since 2 + 7 + 8 + 200 + 9 + 440 = 666.

It is a super-2 number, since 2×2782009440² = 15479153048498227200, which contains 22 as substring.

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 = 2782009395 and 2782009404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782009441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9061767 + ... + 9062073.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^2782009440 is an apocalyptic number.

2782009440 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 2782009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811886080).

2782009440 is an abundant number, since it is smaller than the sum of its proper divisors (8841762720).

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

2782009440 is a wasteful number, since it uses less digits than its factorization.

2782009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2782009440 is about 52744.7574646050. The cubic root of 2782009440 is about 1406.4345710924.

The spelling of 2782009440 in words is "two billion, seven hundred eighty-two million, nine thousand, four hundred forty".