2484249600 has 264 divisors, whose sum is σ = 9385544128. Its totient is φ = 567705600.

The previous prime is 2484249577. The next prime is 2484249617. The reversal of 2484249600 is 69424842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535290 + ... + 539910.

Almost surely, 2^2484249600 is an apocalyptic number.

2484249600 is a gapful number since it is divisible by the number (20) 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 2484249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692772064).

2484249600 is an abundant number, since it is smaller than the sum of its proper divisors (6901294528).

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

2484249600 is a wasteful number, since it uses less digits than its factorization.

2484249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2484249600 is about 49842.2471403527. The cubic root of 2484249600 is about 1354.3525907822.

The spelling of 2484249600 in words is "two billion, four hundred eighty-four million, two hundred forty-nine thousand, six hundred".