2782840320 has 640 divisors, whose sum is σ = 11274278400. Its totient is φ = 644972544.

The previous prime is 2782840283. The next prime is 2782840327. The reversal of 2782840320 is 230482872.

2782840320 is a `hidden beast` number, since 278 + 28 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782840327) 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, 17072559 + ... + 17072721.

It is an arithmetic number, because the mean of its divisors is an integer number (17616060).

Almost surely, 2^2782840320 is an apocalyptic number.

2782840320 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 2782840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637139200).

2782840320 is an abundant number, since it is smaller than the sum of its proper divisors (8491438080).

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

2782840320 is a wasteful number, since it uses less digits than its factorization.

2782840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

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

The square root of 2782840320 is about 52752.6332992013. The cubic root of 2782840320 is about 1406.5745732580.

The spelling of 2782840320 in words is "two billion, seven hundred eighty-two million, eight hundred forty thousand, three hundred twenty".