2540013320 has 64 divisors (see below), whose sum is σ = 6161566320. Its totient is φ = 936797184.

The previous prime is 2540013317. The next prime is 2540013323. The reversal of 2540013320 is 233100452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2540013317) and next prime (2540013323).

It can be written as a sum of positive squares in 8 ways, for example, as 180579844 + 2359433476 = 13438^2 + 48574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2540013292 and 2540013301.

It is not an unprimeable number, because it can be changed into a prime (2540013323) 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, 578654 + ... + 583026.

Almost surely, 2^2540013320 is an apocalyptic number.

2540013320 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 2540013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080783160).

2540013320 is an abundant number, since it is smaller than the sum of its proper divisors (3621553000).

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

2540013320 is a wasteful number, since it uses less digits than its factorization.

2540013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2540013320 is about 50398.5448202624. The cubic root of 2540013320 is about 1364.4113747883.

Adding to 2540013320 its reverse (233100452), we get a palindrome (2773113772).

The spelling of 2540013320 in words is "two billion, five hundred forty million, thirteen thousand, three hundred twenty".