2106228480 has 288 divisors, whose sum is σ = 6993423360. Its totient is φ = 539934720.

The previous prime is 2106228479. The next prime is 2106228517. The reversal of 2106228480 is 848226012.

It is a happy number.

It is a super-2 number, since 2×2106228480² = 8872396819926220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16078015 + ... + 16078145.

It is an arithmetic number, because the mean of its divisors is an integer number (24282720).

Almost surely, 2^2106228480 is an apocalyptic number.

2106228480 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 2106228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496711680).

2106228480 is an abundant number, since it is smaller than the sum of its proper divisors (4887194880).

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

2106228480 is a wasteful number, since it uses less digits than its factorization.

2106228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2106228480 is about 45893.6649222962. The cubic root of 2106228480 is about 1281.8439569194.

The spelling of 2106228480 in words is "two billion, one hundred six million, two hundred twenty-eight thousand, four hundred eighty".