2509967500986 has 96 divisors (see below), whose sum is σ = 5762721121920. Its totient is φ = 726890250240.

The previous prime is 2509967500973. The next prime is 2509967501003. The reversal of 2509967500986 is 6890057699052.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19187610 + ... + 19317978.

It is an arithmetic number, because the mean of its divisors is an integer number (60028345020).

Almost surely, 2^{2509967500986} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509967500986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881360560960).

2509967500986 is an abundant number, since it is smaller than the sum of its proper divisors (3252753620934).

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

2509967500986 is a wasteful number, since it uses less digits than its factorization.

2509967500986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131572 (or 131561 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 2509967500986 in words is "two trillion, five hundred nine billion, nine hundred sixty-seven million, five hundred thousand, nine hundred eighty-six".