2503138810680 has 288 divisors, whose sum is σ = 8464340935440. Its totient is φ = 666186094080.

The previous prime is 2503138810673. The next prime is 2503138810709. The reversal of 2503138810680 is 860188313052.

2503138810680 is a `hidden beast` number, since 2 + 503 + 1 + 3 + 8 + 81 + 0 + 68 + 0 = 666.

2503138810680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136722087 + ... + 136740393.

Almost surely, 2^{2503138810680} is an apocalyptic number.

2503138810680 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 2503138810680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232170467720).

2503138810680 is an abundant number, since it is smaller than the sum of its proper divisors (5961202124760).

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

2503138810680 is an equidigital number, since it uses as much as digits as its factorization.

2503138810680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18863 (or 18838 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2503138810680 in words is "two trillion, five hundred three billion, one hundred thirty-eight million, eight hundred ten thousand, six hundred eighty".