2503395716640 has 384 divisors, whose sum is σ = 9814538119680. Its totient is φ = 522253467648.

The previous prime is 2503395716603. The next prime is 2503395716693. The reversal of 2503395716640 is 466175933052.

It is a happy number.

It is a super-2 number, since 2×2503395716640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3565542 + ... + 4209498.

It is an arithmetic number, because the mean of its divisors is an integer number (25558693020).

Almost surely, 2^{2503395716640} is an apocalyptic number.

2503395716640 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 2503395716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907269059840).

2503395716640 is an abundant number, since it is smaller than the sum of its proper divisors (7311142403040).

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

2503395716640 is a wasteful number, since it uses less digits than its factorization.

2503395716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644084 (or 644076 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 2503395716640 in words is "two trillion, five hundred three billion, three hundred ninety-five million, seven hundred sixteen thousand, six hundred forty".