2501948709680 has 40 divisors (see below), whose sum is σ = 6648035144352. Its totient is φ = 857810985984.

The previous prime is 2501948709607. The next prime is 2501948709719. The reversal of 2501948709680 is 869078491052.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233882217 + ... + 2233883336.

Almost surely, 2^{2501948709680} is an apocalyptic number.

2501948709680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501948709680 is an abundant number, since it is smaller than the sum of its proper divisors (4146086434672).

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

2501948709680 is a wasteful number, since it uses less digits than its factorization.

2501948709680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467765573 (or 4467765567 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 2501948709680 in words is "two trillion, five hundred one billion, nine hundred forty-eight million, seven hundred nine thousand, six hundred eighty".