2517950193 has 16 divisors (see below), whose sum is σ = 3672984000. Its totient is φ = 1521650880.

The previous prime is 2517950147. The next prime is 2517950273. The reversal of 2517950193 is 3910597152.

It is not a de Polignac number, because 2517950193 - 2¹² = 2517946097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2517950593) 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 15 ways as a sum of consecutive naturals, for example, 97798 + ... + 120831.

It is an arithmetic number, because the mean of its divisors is an integer number (229561500).

Almost surely, 2^2517950193 is an apocalyptic number.

It is an amenable number.

2517950193 is a deficient number, since it is larger than the sum of its proper divisors (1155033807).

2517950193 is a wasteful number, since it uses less digits than its factorization.

2517950193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218992.

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 2517950193 is about 50179.1808721506. The cubic root of 2517950193 is about 1360.4493528482.

The spelling of 2517950193 in words is "two billion, five hundred seventeen million, nine hundred fifty thousand, one hundred ninety-three".