2116440 has 48 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 564288.

The previous prime is 2116427. The next prime is 2116441. The reversal of 2116440 is 446112.

2116440 is a `hidden beast` number, since 21 + 1 + 644 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2580 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

2^2116440 is an apocalyptic number.

2116440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116440 is an abundant number, since it is smaller than the sum of its proper divisors (4763160).

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

2116440 is a wasteful number, since it uses less digits than its factorization.

2116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5889 counting only the distinct ones).

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

The square root of 2116440 is about 1454.7989551825. The cubic root of 2116440 is about 128.3912184287.

It can be divided in two parts, 2116 and 440, that added together give a triangular number (2556 = T₇₁).

The spelling of 2116440 in words is "two million, one hundred sixteen thousand, four hundred forty".