2742520 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 950400.

The previous prime is 2742503. The next prime is 2742521. The reversal of 2742520 is 252472.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2 + 7⁶ + 4⁷ + 2¹⁷ + 5⁹ + 2¹⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2742491 and 2742500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742521) 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, 9985 + ... + 10255.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

2^2742520 is an apocalyptic number.

2742520 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 2742520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2742520 is an abundant number, since it is smaller than the sum of its proper divisors (4307720).

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

2742520 is a wasteful number, since it uses less digits than its factorization.

2742520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2742520 is about 1656.0555546237. The cubic root of 2742520 is about 139.9748254054.

Adding to 2742520 its reverse (252472), we get a palindrome (2994992).

The spelling of 2742520 in words is "two million, seven hundred forty-two thousand, five hundred twenty".