2216148480 has 720 divisors, whose sum is σ = 9678693024. Its totient is φ = 464486400.

The previous prime is 2216148461. The next prime is 2216148499. The reversal of 2216148480 is 848416122.

2216148480 is a `hidden beast` number, since 22 + 16 + 148 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2216148461) and next prime (2216148499).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2216148480² = 9822628170812620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676405 + ... + 14676555.

Almost surely, 2^2216148480 is an apocalyptic number.

2216148480 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 2216148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839346512).

2216148480 is an abundant number, since it is smaller than the sum of its proper divisors (7462544544).

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

2216148480 is a wasteful number, since it uses less digits than its factorization.

2216148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2216148480 is about 47075.9862350222. The cubic root of 2216148480 is about 1303.7659007415.

The spelling of 2216148480 in words is "two billion, two hundred sixteen million, one hundred forty-eight thousand, four hundred eighty".