2159445600 has 216 divisors, whose sum is σ = 8200850112. Its totient is φ = 531532800.

The previous prime is 2159445599. The next prime is 2159445623. The reversal of 2159445600 is 65449512.

2159445600 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 4 + 45 + 600 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 82065 + ... + 105135.

Almost surely, 2^2159445600 is an apocalyptic number.

2159445600 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 2159445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100425056).

2159445600 is an abundant number, since it is smaller than the sum of its proper divisors (6041404512).

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

2159445600 is a wasteful number, since it uses less digits than its factorization.

2159445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110 (or 23094 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2159445600 is about 46469.8353773714. The cubic root of 2159445600 is about 1292.5502102417.

The spelling of 2159445600 in words is "two billion, one hundred fifty-nine million, four hundred forty-five thousand, six hundred".