2540414120 has 32 divisors (see below), whose sum is σ = 5855348520. Its totient is φ = 991380480.

The previous prime is 2540414111. The next prime is 2540414137. The reversal of 2540414120 is 214140452.

2540414120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1771904836 + 768509284 = 42094^2 + 27722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772877 + ... + 776156.

Almost surely, 2^2540414120 is an apocalyptic number.

2540414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540414120 is an abundant number, since it is smaller than the sum of its proper divisors (3314934400).

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

2540414120 is a wasteful number, since it uses less digits than its factorization.

2540414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549085 (or 1549081 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2540414120 is about 50402.5209686976. The cubic root of 2540414120 is about 1364.4831365272.

Adding to 2540414120 its reverse (214140452), we get a palindrome (2754554572).

The spelling of 2540414120 in words is "two billion, five hundred forty million, four hundred fourteen thousand, one hundred twenty".