2513508480000 has 2640 divisors, whose sum is σ = 11611984475520. Its totient is φ = 509607936000.

The previous prime is 2513508479971. The next prime is 2513508480011. The reversal of 2513508480000 is 848053152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13023359904 + ... + 13023360096.

It is an arithmetic number, because the mean of its divisors is an integer number (4398478968).

Almost surely, 2^{2513508480000} is an apocalyptic number.

2513508480000 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 2513508480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805992237760).

2513508480000 is an abundant number, since it is smaller than the sum of its proper divisors (9098475995520).

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

2513508480000 is a wasteful number, since it uses less digits than its factorization.

2513508480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2513508480000 in words is "two trillion, five hundred thirteen billion, five hundred eight million, four hundred eighty thousand".