2180931840 has 324 divisors, whose sum is σ = 7836640812. Its totient is φ = 559964160.

The previous prime is 2180931827. The next prime is 2180931869. The reversal of 2180931840 is 481390812.

It can be written as a sum of positive squares in 2 ways, for example, as 1614110976 + 566820864 = 40176^2 + 23808^2 .

It is a super-3 number, since 3×2180931840³ (a number of 29 digits) contains 333 as substring.

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 = 2180931795 and 2180931804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11070622 + ... + 11070818.

It is an arithmetic number, because the mean of its divisors is an integer number (24187163).

Almost surely, 2^2180931840 is an apocalyptic number.

2180931840 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 2180931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918320406).

2180931840 is an abundant number, since it is smaller than the sum of its proper divisors (5655708972).

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

2180931840 is a wasteful number, since it uses less digits than its factorization.

2180931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2180931840 is about 46700.4479635902. The cubic root of 2180931840 is about 1296.8229797995.

The spelling of 2180931840 in words is "two billion, one hundred eighty million, nine hundred thirty-one thousand, eight hundred forty".