2187024840 has 1152 divisors, whose sum is σ = 10583395200. Its totient is φ = 394813440.

The previous prime is 2187024839. The next prime is 2187024893. The reversal of 2187024840 is 484207812.

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

It is a junction number, because it is equal to n+sod(n) for n = 2187024795 and 2187024804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128648512 + ... + 128648528.

It is an arithmetic number, because the mean of its divisors is an integer number (9186975).

Almost surely, 2^2187024840 is an apocalyptic number.

2187024840 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 2187024840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291697600).

2187024840 is an abundant number, since it is smaller than the sum of its proper divisors (8396370360).

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

2187024840 is a wasteful number, since it uses less digits than its factorization.

2187024840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2187024840 is about 46765.6373847294. The cubic root of 2187024840 is about 1298.0295275899.

The spelling of 2187024840 in words is "two billion, one hundred eighty-seven million, twenty-four thousand, eight hundred forty".