2159553840 has 160 divisors (see below), whose sum is σ = 6923812800. Its totient is φ = 556388352.

The previous prime is 2159553839. The next prime is 2159553871. The reversal of 2159553840 is 483559512.

It is a Cunningham number, because it is equal to 46471²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2159553792 and 2159553801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393386 + ... + 1394934.

It is an arithmetic number, because the mean of its divisors is an integer number (43273830).

Almost surely, 2^2159553840 is an apocalyptic number.

2159553840 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 2159553840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461906400).

2159553840 is an abundant number, since it is smaller than the sum of its proper divisors (4764258960).

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

2159553840 is a wasteful number, since it uses less digits than its factorization.

2159553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 2159553840 is about 46470.9999892406. Note that the first 4 decimals coincide. The cubic root of 2159553840 is about 1292.5718057996.

The spelling of 2159553840 in words is "two billion, one hundred fifty-nine million, five hundred fifty-three thousand, eight hundred forty".