2509815010248 has 576 divisors, whose sum is σ = 8675010938880. Its totient is φ = 641477491200.

The previous prime is 2509815010231. The next prime is 2509815010259. The reversal of 2509815010248 is 8420105189052.

2509815010248 is a `hidden beast` number, since 2 + 50 + 98 + 1 + 501 + 0 + 2 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 479793793 + ... + 479799023.

It is an arithmetic number, because the mean of its divisors is an integer number (15060782880).

Almost surely, 2^{2509815010248} is an apocalyptic number.

2509815010248 is a gapful number since it is divisible by the number (28) 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 2509815010248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337505469440).

2509815010248 is an abundant number, since it is smaller than the sum of its proper divisors (6165195928632).

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

2509815010248 is a wasteful number, since it uses less digits than its factorization.

2509815010248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 2509815010248 in words is "two trillion, five hundred nine billion, eight hundred fifteen million, ten thousand, two hundred forty-eight".