2136420 has 144 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 472320.

The previous prime is 2136419. The next prime is 2136437. The reversal of 2136420 is 246312.

It is a happy number.

2136420 is a `hidden beast` number, since 21 + 3 + 642 + 0 = 666.

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

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 3⁷ + 6³ + 4⁶ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2136393 and 2136402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25699 + ... + 25781.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

2^2136420 is an apocalyptic number.

2136420 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 2136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2136420 is an abundant number, since it is smaller than the sum of its proper divisors (5568732).

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

2136420 is a wasteful number, since it uses less digits than its factorization.

2136420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2136420 is about 1461.6497528478. The cubic root of 2136420 is about 128.7939743590.

It can be divided in two parts, 2136 and 420, that added together give a triangular number (2556 = T₇₁).

The spelling of 2136420 in words is "two million, one hundred thirty-six thousand, four hundred twenty".