2157120 has 168 divisors, whose sum is σ = 8558784. Its totient is φ = 488448.

The previous prime is 2157119. The next prime is 2157121. The reversal of 2157120 is 217512.

It is an interprime number because it is at equal distance from previous prime (2157119) and next prime (2157121).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 2157093 and 2157102.

It is not an unprimeable number, because it can be changed into a prime (2157121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20107 + ... + 20213.

2^2157120 is an apocalyptic number.

2157120 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 2157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392).

2157120 is an abundant number, since it is smaller than the sum of its proper divisors (6401664).

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

2157120 is a wasteful number, since it uses less digits than its factorization.

2157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2157120 is about 1468.7137229562. The cubic root of 2157120 is about 129.2086042572.

It can be divided in two parts, 2157 and 120, that multiplied together give a triangular number (258840 = T₇₁₉).

The spelling of 2157120 in words is "two million, one hundred fifty-seven thousand, one hundred twenty".