2782455840 has 384 divisors, whose sum is σ = 10218700800. Its totient is φ = 706268160.

The previous prime is 2782455787. The next prime is 2782455853. The reversal of 2782455840 is 485542872.

2782455840 is a `hidden beast` number, since 2 + 78 + 24 + 558 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10579549 + ... + 10579811.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 2^2782455840 is an apocalyptic number.

2782455840 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 2782455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109350400).

2782455840 is an abundant number, since it is smaller than the sum of its proper divisors (7436244960).

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

2782455840 is a wasteful number, since it uses less digits than its factorization.

2782455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2782455840 is about 52748.9889950509. The cubic root of 2782455840 is about 1406.5097923582.

The spelling of 2782455840 in words is "two billion, seven hundred eighty-two million, four hundred fifty-five thousand, eight hundred forty".