2187924480 has 1056 divisors, whose sum is σ = 10081065600. Its totient is φ = 445906944.

The previous prime is 2187924439. The next prime is 2187924481. The reversal of 2187924480 is 844297812.

2187924480 is a `hidden beast` number, since 2 + 1 + 87 + 92 + 4 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187924481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115153911 + ... + 115153929.

Almost surely, 2^2187924480 is an apocalyptic number.

2187924480 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 2187924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040532800).

2187924480 is an abundant number, since it is smaller than the sum of its proper divisors (7893141120).

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

2187924480 is a wasteful number, since it uses less digits than its factorization.

2187924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2187924480 is about 46775.2549966326. The cubic root of 2187924480 is about 1298.2074861235.

The spelling of 2187924480 in words is "two billion, one hundred eighty-seven million, nine hundred twenty-four thousand, four hundred eighty".