2458974624 has 48 divisors (see below), whose sum is σ = 6564227040. Its totient is φ = 805763840.

The previous prime is 2458974611. The next prime is 2458974629. The reversal of 2458974624 is 4264798542.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2458974629) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 211407 + ... + 222734.

It is an arithmetic number, because the mean of its divisors is an integer number (136754730).

Almost surely, 2^2458974624 is an apocalyptic number.

2458974624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2458974624 is an abundant number, since it is smaller than the sum of its proper divisors (4105252416).

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

2458974624 is a wasteful number, since it uses less digits than its factorization.

2458974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434213 (or 434205 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 2458974624 is about 49588.0492054285. The cubic root of 2458974624 is about 1349.7438240935.

The spelling of 2458974624 in words is "two billion, four hundred fifty-eight million, nine hundred seventy-four thousand, six hundred twenty-four".