2114640 has 160 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 506880.

The previous prime is 2114627. The next prime is 2114653. The reversal of 2114640 is 464112.

2114640 is a `hidden beast` number, since 21 + 1 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2114627) and next prime (2114653).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23716 + ... + 23804.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2^2114640 is an apocalyptic number.

2114640 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 2114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2114640 is an abundant number, since it is smaller than the sum of its proper divisors (5920560).

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

2114640 is a wasteful number, since it uses less digits than its factorization.

2114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2114640 is about 1454.1801814081. The cubic root of 2114640 is about 128.3548098462.

Adding to 2114640 its reverse (464112), we get a palindrome (2578752).

It can be divided in two parts, 211 and 4640, that added together give a triangular number (4851 = T₉₈).

The spelling of 2114640 in words is "two million, one hundred fourteen thousand, six hundred forty".