2513839749120 has 576 divisors, whose sum is σ = 10300589208000. Its totient is φ = 554774298624.

The previous prime is 2513839749067. The next prime is 2513839749121. The reversal of 2513839749120 is 219479383152.

2513839749120 is a `hidden beast` number, since 2 + 51 + 3 + 83 + 9 + 7 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513839749121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18641296 + ... + 18775664.

It is an arithmetic number, because the mean of its divisors is an integer number (17882967375).

Almost surely, 2^{2513839749120} is an apocalyptic number.

2513839749120 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 2513839749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150294604000).

2513839749120 is an abundant number, since it is smaller than the sum of its proper divisors (7786749458880).

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

2513839749120 is a wasteful number, since it uses less digits than its factorization.

2513839749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134438 (or 134415 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2513839749120 in words is "two trillion, five hundred thirteen billion, eight hundred thirty-nine million, seven hundred forty-nine thousand, one hundred twenty".