2481292224 has 168 divisors, whose sum is σ = 7529911280. Its totient is φ = 800658432.

The previous prime is 2481292223. The next prime is 2481292349. The reversal of 2481292224 is 4222921842.

It is a super-2 number, since 2×2481292224² = 12313622201765732352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481292223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12595294 + ... + 12595490.

Almost surely, 2^2481292224 is an apocalyptic number.

2481292224 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 2481292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764955640).

2481292224 is an abundant number, since it is smaller than the sum of its proper divisors (5048619056).

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

2481292224 is an equidigital number, since it uses as much as digits as its factorization.

2481292224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 239 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2481292224 is about 49812.5709434877. The cubic root of 2481292224 is about 1353.8149475060.

The spelling of 2481292224 in words is "two billion, four hundred eighty-one million, two hundred ninety-two thousand, two hundred twenty-four".