2175243840 has 672 divisors, whose sum is σ = 9893954304. Its totient is φ = 424673280.

The previous prime is 2175243821. The next prime is 2175243887. The reversal of 2175243840 is 483425712.

It is a happy number.

2175243840 is a `hidden beast` number, since 217 + 5 + 2 + 438 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 2175243795 and 2175243804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769632 + ... + 3770208.

Almost surely, 2^2175243840 is an apocalyptic number.

2175243840 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 2175243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946977152).

2175243840 is an abundant number, since it is smaller than the sum of its proper divisors (7718710464).

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

2175243840 is a wasteful number, since it uses less digits than its factorization.

2175243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2175243840 is about 46639.5094313823. The cubic root of 2175243840 is about 1295.6946011074.

The spelling of 2175243840 in words is "two billion, one hundred seventy-five million, two hundred forty-three thousand, eight hundred forty".