2605019424 has 96 divisors (see below), whose sum is σ = 8084603520. Its totient is φ = 718620672.

The previous prime is 2605019407. The next prime is 2605019467. The reversal of 2605019424 is 4249105062.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2605019424² = 13572252398834583552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47349 + ... + 86324.

It is an arithmetic number, because the mean of its divisors is an integer number (84214620).

Almost surely, 2^2605019424 is an apocalyptic number.

2605019424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2605019424 is an abundant number, since it is smaller than the sum of its proper divisors (5479584096).

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

2605019424 is a wasteful number, since it uses less digits than its factorization.

2605019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133722 (or 133714 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2605019424 is about 51039.3909054565. The cubic root of 2605019424 is about 1375.9531769266.

The spelling of 2605019424 in words is "two billion, six hundred five million, nineteen thousand, four hundred twenty-four".