2683212228480 has 1024 divisors, whose sum is σ = 10552940236800. Its totient is φ = 566004547584.

The previous prime is 2683212228467. The next prime is 2683212228491. The reversal of 2683212228480 is 848222123862.

2683212228480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2683212228480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2659278216 + ... + 2659279224.

It is an arithmetic number, because the mean of its divisors is an integer number (10305605700).

Almost surely, 2^{2683212228480} is an apocalyptic number.

2683212228480 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 2683212228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276470118400).

2683212228480 is an abundant number, since it is smaller than the sum of its proper divisors (7869728008320).

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

2683212228480 is a wasteful number, since it uses less digits than its factorization.

2683212228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 2683212228480 in words is "two trillion, six hundred eighty-three billion, two hundred twelve million, two hundred twenty-eight thousand, four hundred eighty".