2172584880 has 240 divisors, whose sum is σ = 7665446880. Its totient is φ = 550674432.

The previous prime is 2172584867. The next prime is 2172584881. The reversal of 2172584880 is 884852712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2172584880² = 9440250121609228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2172584881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398184 + ... + 1399736.

It is an arithmetic number, because the mean of its divisors is an integer number (31939362).

Almost surely, 2^2172584880 is an apocalyptic number.

2172584880 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 2172584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832723440).

2172584880 is an abundant number, since it is smaller than the sum of its proper divisors (5492862000).

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

2172584880 is a wasteful number, since it uses less digits than its factorization.

2172584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2172584880 is about 46610.9952693568. The cubic root of 2172584880 is about 1295.1664450173.

The spelling of 2172584880 in words is "two billion, one hundred seventy-two million, five hundred eighty-four thousand, eight hundred eighty".