2513400340 has 48 divisors (see below), whose sum is σ = 5779355904. Its totient is φ = 910569600.

The previous prime is 2513400311. The next prime is 2513400347. The reversal of 2513400340 is 430043152.

2513400340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2513400340² = 12634362538224231200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513400347) 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, 38542 + ... + 80698.

It is an arithmetic number, because the mean of its divisors is an integer number (120403248).

Almost surely, 2^2513400340 is an apocalyptic number.

2513400340 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 2513400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889677952).

2513400340 is an abundant number, since it is smaller than the sum of its proper divisors (3265955564).

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

2513400340 is a wasteful number, since it uses less digits than its factorization.

2513400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42448 (or 42446 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2513400340 is about 50133.8243105391. The cubic root of 2513400340 is about 1359.6294297462.

Adding to 2513400340 its reverse (430043152), we get a palindrome (2943443492).

The spelling of 2513400340 in words is "two billion, five hundred thirteen million, four hundred thousand, three hundred forty".