2114880840 has 80 divisors (see below), whose sum is σ = 7108360380. Its totient is φ = 563967360.

The previous prime is 2114880839. The next prime is 2114880841. The reversal of 2114880840 is 480884112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2114880839) and next prime (2114880841).

It can be written as a sum of positive squares in 2 ways, for example, as 1965503556 + 149377284 = 44334^2 + 12222^2 .

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 = 2114880795 and 2114880804.

It is not an unprimeable number, because it can be changed into a prime (2114880841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323131 + ... + 329610.

Almost surely, 2^2114880840 is an apocalyptic number.

2114880840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114880840 is an abundant number, since it is smaller than the sum of its proper divisors (4993479540).

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

2114880840 is a wasteful number, since it uses less digits than its factorization.

2114880840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652764 (or 652751 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2114880840 is about 45987.8336084665. The cubic root of 2114880840 is about 1283.5968251155.

The spelling of 2114880840 in words is "two billion, one hundred fourteen million, eight hundred eighty thousand, eight hundred forty".