2114786880 has 280 divisors, whose sum is σ = 7621048512. Its totient is φ = 556581888.

The previous prime is 2114786873. The next prime is 2114786881. The reversal of 2114786880 is 886874112.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2114786881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2150869 + ... + 2151851.

Almost surely, 2^2114786880 is an apocalyptic number.

2114786880 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 2114786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810524256).

2114786880 is an abundant number, since it is smaller than the sum of its proper divisors (5506261632).

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

2114786880 is an equidigital number, since it uses as much as digits as its factorization.

2114786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2114786880 is about 45986.8120225788. The cubic root of 2114786880 is about 1283.5778156058.

The spelling of 2114786880 in words is "two billion, one hundred fourteen million, seven hundred eighty-six thousand, eight hundred eighty".