2117640 has 64 divisors (see below), whose sum is σ = 7263360. Its totient is φ = 483840.

The previous prime is 2117623. The next prime is 2117651. The reversal of 2117640 is 467112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (113490).

2^2117640 is an apocalyptic number.

2117640 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 2117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631680).

2117640 is an abundant number, since it is smaller than the sum of its proper divisors (5145720).

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

2117640 is a wasteful number, since it uses less digits than its factorization.

2117640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2117640 is about 1455.2113248597. The cubic root of 2117640 is about 128.4154793500.

The spelling of 2117640 in words is "two million, one hundred seventeen thousand, six hundred forty".