2513023488000 has 416 divisors, whose sum is σ = 9291519169920. Its totient is φ = 670135910400.

The previous prime is 2513023487993. The next prime is 2513023488007. The reversal of 2513023488000 is 8843203152.

2513023488000 is a `hidden beast` number, since 2 + 5 + 1 + 302 + 348 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2513023487993) and next prime (2513023488007).

It is a super-2 number, since 2×2513023488000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513023488007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13733107 + ... + 13914893.

It is an arithmetic number, because the mean of its divisors is an integer number (22335382620).

Almost surely, 2^{2513023488000} is an apocalyptic number.

2513023488000 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 2513023488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645759584960).

2513023488000 is an abundant number, since it is smaller than the sum of its proper divisors (6778495681920).

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

2513023488000 is an equidigital number, since it uses as much as digits as its factorization.

2513023488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181835 (or 181797 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2513023488000 in words is "two trillion, five hundred thirteen billion, twenty-three million, four hundred eighty-eight thousand".