2484911520 has 960 divisors, whose sum is σ = 11269843200. Its totient is φ = 512096256.

The previous prime is 2484911509. The next prime is 2484911537. The reversal of 2484911520 is 251194842.

2484911520 is a `hidden beast` number, since 2 + 48 + 4 + 91 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788619 + ... + 57788661.

It is an arithmetic number, because the mean of its divisors is an integer number (11739420).

Almost surely, 2^2484911520 is an apocalyptic number.

2484911520 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 2484911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634921600).

2484911520 is an abundant number, since it is smaller than the sum of its proper divisors (8784931680).

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

2484911520 is a wasteful number, since it uses less digits than its factorization.

2484911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2484911520 is about 49848.8868481534. The cubic root of 2484911520 is about 1354.4728676736.

The spelling of 2484911520 in words is "two billion, four hundred eighty-four million, nine hundred eleven thousand, five hundred twenty".