2780284029120 has 896 divisors, whose sum is σ = 11252299161600. Its totient is φ = 640189661184.

The previous prime is 2780284029119. The next prime is 2780284029151. The reversal of 2780284029120 is 219204820872.

It is a happy number.

2780284029120 is a `hidden beast` number, since 2 + 7 + 80 + 284 + 0 + 291 + 2 + 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318872121 + ... + 318880839.

It is an arithmetic number, because the mean of its divisors is an integer number (12558369600).

Almost surely, 2^{2780284029120} is an apocalyptic number.

2780284029120 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 2780284029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626149580800).

2780284029120 is an abundant number, since it is smaller than the sum of its proper divisors (8472015132480).

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

2780284029120 is a wasteful number, since it uses less digits than its factorization.

2780284029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 2780284029120 its reverse (219204820872), we get a palindrome (2999488849992).

The spelling of 2780284029120 in words is "two trillion, seven hundred eighty billion, two hundred eighty-four million, twenty-nine thousand, one hundred twenty".