2501904566991 has 32 divisors (see below), whose sum is σ = 3433362121728. Its totient is φ = 1619912885760.

The previous prime is 2501904566933. The next prime is 2501904567017. The reversal of 2501904566991 is 1996654091052.

It is not a de Polignac number, because 2501904566991 - 2¹⁰ = 2501904565967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501904566921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6203790 + ... + 6594756.

It is an arithmetic number, because the mean of its divisors is an integer number (107292566304).

Almost surely, 2^{2501904566991} is an apocalyptic number.

2501904566991 is a deficient number, since it is larger than the sum of its proper divisors (931457554737).

2501904566991 is a wasteful number, since it uses less digits than its factorization.

2501904566991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391431.

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 2501904566991 in words is "two trillion, five hundred one billion, nine hundred four million, five hundred sixty-six thousand, nine hundred ninety-one".