2180033856 has 672 divisors, whose sum is σ = 8875776000. Its totient is φ = 492687360.

The previous prime is 2180033851. The next prime is 2180033861. The reversal of 2180033856 is 6583300812.

It is an interprime number because it is at equal distance from previous prime (2180033851) and next prime (2180033861).

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

It is a super-2 number, since 2×2180033856² = 9505095226612457472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2180033856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180033851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10954845 + ... + 10955043.

It is an arithmetic number, because the mean of its divisors is an integer number (13208000).

Almost surely, 2^2180033856 is an apocalyptic number.

2180033856 is a gapful number since it is divisible by the number (26) 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 2180033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437888000).

2180033856 is an abundant number, since it is smaller than the sum of its proper divisors (6695742144).

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

2180033856 is a wasteful number, since it uses less digits than its factorization.

2180033856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

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

The square root of 2180033856 is about 46690.8326762331. The cubic root of 2180033856 is about 1296.6449693224.

The spelling of 2180033856 in words is "two billion, one hundred eighty million, thirty-three thousand, eight hundred fifty-six".