2540713224 has 128 divisors (see below), whose sum is σ = 7440076800. Its totient is φ = 708026880.

The previous prime is 2540713199. The next prime is 2540713261. The reversal of 2540713224 is 4223170452.

It is a super-3 number, since 3×2540713224³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2540713191 and 2540713200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357009 + ... + 1358879.

It is an arithmetic number, because the mean of its divisors is an integer number (58125600).

Almost surely, 2^2540713224 is an apocalyptic number.

2540713224 is a gapful number since it is divisible by the number (24) 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 2540713224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720038400).

2540713224 is an abundant number, since it is smaller than the sum of its proper divisors (4899363576).

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

2540713224 is a wasteful number, since it uses less digits than its factorization.

2540713224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2540713224 is about 50405.4880345385. The cubic root of 2540713224 is about 1364.5366850602.

Adding to 2540713224 its reverse (4223170452), we get a palindrome (6763883676).

The spelling of 2540713224 in words is "two billion, five hundred forty million, seven hundred thirteen thousand, two hundred twenty-four".