2742120 has 64 divisors (see below), whose sum is σ = 9144000. Its totient is φ = 730944.

The previous prime is 2742119. The next prime is 2742127. The reversal of 2742120 is 212472.

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 = 2742093 and 2742102.

It is not an unprimeable number, because it can be changed into a prime (2742127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190 + ... + 2349.

It is an arithmetic number, because the mean of its divisors is an integer number (142875).

2^2742120 is an apocalyptic number.

2742120 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 2742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572000).

2742120 is an abundant number, since it is smaller than the sum of its proper divisors (6401880).

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

2742120 is a wasteful number, since it uses less digits than its factorization.

2742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2742120 is about 1655.9347813244. The cubic root of 2742120 is about 139.9680199063.

Adding to 2742120 its reverse (212472), we get a palindrome (2954592).

The spelling of 2742120 in words is "two million, seven hundred forty-two thousand, one hundred twenty".