2653876224 has 260 divisors, whose sum is σ = 8364976840. Its totient is φ = 836075520.

The previous prime is 2653876223. The next prime is 2653876271. The reversal of 2653876224 is 4226783562.

2653876224 is a `hidden beast` number, since 26 + 538 + 76 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2653876224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653876223) 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 19 ways as a sum of consecutive naturals, for example, 6303534 + ... + 6303954.

Almost surely, 2^2653876224 is an apocalyptic number.

2653876224 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 2653876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182488420).

2653876224 is an abundant number, since it is smaller than the sum of its proper divisors (5711100616).

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

2653876224 is an equidigital number, since it uses as much as digits as its factorization.

2653876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2653876224 is about 51515.7861630782. The cubic root of 2653876224 is about 1384.5018951084.

The spelling of 2653876224 in words is "two billion, six hundred fifty-three million, eight hundred seventy-six thousand, two hundred twenty-four".