2513613242140 has 192 divisors, whose sum is σ = 7096690879488. Its totient is φ = 722242713600.

The previous prime is 2513613242111. The next prime is 2513613242159. The reversal of 2513613242140 is 412423163152.

2513613242140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2513613242096 and 2513613242105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15152727 + ... + 15317713.

It is an arithmetic number, because the mean of its divisors is an integer number (36961931664).

Almost surely, 2^{2513613242140} is an apocalyptic number.

2513613242140 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 2513613242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548345439744).

2513613242140 is an abundant number, since it is smaller than the sum of its proper divisors (4583077637348).

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

2513613242140 is a wasteful number, since it uses less digits than its factorization.

2513613242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165788 (or 165786 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 2513613242140 in words is "two trillion, five hundred thirteen billion, six hundred thirteen million, two hundred forty-two thousand, one hundred forty".