2484605760 has 672 divisors, whose sum is σ = 10507553280. Its totient is φ = 491323392.

The previous prime is 2484605749. The next prime is 2484605771. The reversal of 2484605760 is 675064842.

It is an interprime number because it is at equal distance from previous prime (2484605749) and next prime (2484605771).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10395721 + ... + 10395959.

It is an arithmetic number, because the mean of its divisors is an integer number (15636240).

Almost surely, 2^2484605760 is an apocalyptic number.

2484605760 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 2484605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

2484605760 is an abundant number, since it is smaller than the sum of its proper divisors (8022947520).

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

2484605760 is a wasteful number, since it uses less digits than its factorization.

2484605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2484605760 is about 49845.8198849211. The cubic root of 2484605760 is about 1354.4173109521.

The spelling of 2484605760 in words is "two billion, four hundred eighty-four million, six hundred five thousand, seven hundred sixty".