2740515120 has 560 divisors, whose sum is σ = 11222049600. Its totient is φ = 621831168.

The previous prime is 2740515047. The next prime is 2740515121. The reversal of 2740515120 is 215150472.

2740515120 is a `hidden beast` number, since 27 + 4 + 0 + 515 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2740515120² = 15020846245897228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2740515121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003692 + ... + 20003828.

Almost surely, 2^2740515120 is an apocalyptic number.

2740515120 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 2740515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611024800).

2740515120 is an abundant number, since it is smaller than the sum of its proper divisors (8481534480).

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

2740515120 is an equidigital number, since it uses as much as digits as its factorization.

2740515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2740515120 is about 52349.9295128465. The cubic root of 2740515120 is about 1399.4070822606.

Adding to 2740515120 its reverse (215150472), we get a palindrome (2955665592).

The spelling of 2740515120 in words is "two billion, seven hundred forty million, five hundred fifteen thousand, one hundred twenty".