2782440960 has 480 divisors, whose sum is σ = 10239657120. Its totient is φ = 639959040.

The previous prime is 2782440953. The next prime is 2782441009. The reversal of 2782440960 is 690442872.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89756145 + ... + 89756175.

It is an arithmetic number, because the mean of its divisors is an integer number (21332619).

Almost surely, 2^2782440960 is an apocalyptic number.

2782440960 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 2782440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119828560).

2782440960 is an abundant number, since it is smaller than the sum of its proper divisors (7457216160).

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

2782440960 is a wasteful number, since it uses less digits than its factorization.

2782440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2782440960 is about 52748.8479495050. The cubic root of 2782440960 is about 1406.5072851123.

The spelling of 2782440960 in words is "two billion, seven hundred eighty-two million, four hundred forty thousand, nine hundred sixty".