2189268480 has 320 divisors, whose sum is σ = 8078197248. Its totient is φ = 495452160.

The previous prime is 2189268479. The next prime is 2189268481. The reversal of 2189268480 is 848629812.

It is an interprime number because it is at equal distance from previous prime (2189268479) and next prime (2189268481).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189268481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10375575 + ... + 10375785.

Almost surely, 2^2189268480 is an apocalyptic number.

2189268480 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 2189268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039098624).

2189268480 is an abundant number, since it is smaller than the sum of its proper divisors (5888928768).

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

2189268480 is a wasteful number, since it uses less digits than its factorization.

2189268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2189268480 is about 46789.6193615635. The cubic root of 2189268480 is about 1298.4732530235.

The spelling of 2189268480 in words is "two billion, one hundred eighty-nine million, two hundred sixty-eight thousand, four hundred eighty".