2782023840 has 384 divisors, whose sum is σ = 10135238400. Its totient is φ = 712212480.

The previous prime is 2782023809. The next prime is 2782023841. The reversal of 2782023840 is 483202872.

2782023840 is a `hidden beast` number, since 2 + 78 + 202 + 384 + 0 = 666.

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 = 2782023795 and 2782023804.

It is not an unprimeable number, because it can be changed into a prime (2782023841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20014491 + ... + 20014629.

It is an arithmetic number, because the mean of its divisors is an integer number (26393850).

Almost surely, 2^2782023840 is an apocalyptic number.

2782023840 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 2782023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067619200).

2782023840 is an abundant number, since it is smaller than the sum of its proper divisors (7353214560).

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

2782023840 is a wasteful number, since it uses less digits than its factorization.

2782023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2782023840 is about 52744.8939708859. The cubic root of 2782023840 is about 1406.4369977104.

The spelling of 2782023840 in words is "two billion, seven hundred eighty-two million, twenty-three thousand, eight hundred forty".