2159304840 has 384 divisors, whose sum is σ = 8899787520. Its totient is φ = 440985600.

The previous prime is 2159304821. The next prime is 2159304859. The reversal of 2159304840 is 484039512.

2159304840 is a `hidden beast` number, since 21 + 593 + 0 + 4 + 8 + 40 = 666.

2159304840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2159304821) and next prime (2159304859).

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 = 2159304795 and 2159304804.

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, 1690282 + ... + 1691558.

It is an arithmetic number, because the mean of its divisors is an integer number (23176530).

Almost surely, 2^2159304840 is an apocalyptic number.

2159304840 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 2159304840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449893760).

2159304840 is an abundant number, since it is smaller than the sum of its proper divisors (6740482680).

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

2159304840 is a wasteful number, since it uses less digits than its factorization.

2159304840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2159304840 is about 46468.3208218244. The cubic root of 2159304840 is about 1292.5221253603.

The spelling of 2159304840 in words is "two billion, one hundred fifty-nine million, three hundred four thousand, eight hundred forty".