2208984960 has 512 divisors, whose sum is σ = 8883302400. Its totient is φ = 454459392.

The previous prime is 2208984937. The next prime is 2208984971. The reversal of 2208984960 is 694898022.

It is a super-2 number, since 2×2208984960² = 9759229107012403200, which 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 63 ways as a sum of consecutive naturals, for example, 8211706 + ... + 8211974.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^2208984960 is an apocalyptic number.

2208984960 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 2208984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441651200).

2208984960 is an abundant number, since it is smaller than the sum of its proper divisors (6674317440).

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

2208984960 is a wasteful number, since it uses less digits than its factorization.

2208984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2208984960 is about 46999.8399997277. The cubic root of 2208984960 is about 1302.3596119457.

The spelling of 2208984960 in words is "two billion, two hundred eight million, nine hundred eighty-four thousand, nine hundred sixty".