2501690496 has 128 divisors (see below), whose sum is σ = 6975037440. Its totient is φ = 792929280.

The previous prime is 2501690449. The next prime is 2501690497. The reversal of 2501690496 is 6940961052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2501690497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686171 + ... + 1687653.

It is an arithmetic number, because the mean of its divisors is an integer number (54492480).

Almost surely, 2^2501690496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487518720).

2501690496 is an abundant number, since it is smaller than the sum of its proper divisors (4473346944).

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

2501690496 is a wasteful number, since it uses less digits than its factorization.

2501690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2501690496 is about 50016.9021031891. The cubic root of 2501690496 is about 1357.5146535120.

The spelling of 2501690496 in words is "two billion, five hundred one million, six hundred ninety thousand, four hundred ninety-six".