2673575424 has 560 divisors, whose sum is σ = 9392367600. Its totient is φ = 752467968.

The previous prime is 2673575423. The next prime is 2673575447. The reversal of 2673575424 is 4245753762.

2673575424 is a `hidden beast` number, since 2 + 6 + 73 + 575 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2673575424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673575423) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92192242 + ... + 92192270.

It is an arithmetic number, because the mean of its divisors is an integer number (16772085).

Almost surely, 2^2673575424 is an apocalyptic number.

2673575424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2673575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696183800).

2673575424 is an abundant number, since it is smaller than the sum of its proper divisors (6718792176).

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

2673575424 is an equidigital number, since it uses as much as digits as its factorization.

2673575424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 2673575424 is about 51706.6284338865. The cubic root of 2673575424 is about 1387.9190821727.

The spelling of 2673575424 in words is "two billion, six hundred seventy-three million, five hundred seventy-five thousand, four hundred twenty-four".