2484069120 has 720 divisors, whose sum is σ = 10179855840. Its totient is φ = 573308928.

The previous prime is 2484069109. The next prime is 2484069151. The reversal of 2484069120 is 219604842.

2484069120 is a `hidden beast` number, since 248 + 406 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 25608912 + ... + 25609008.

Almost surely, 2^2484069120 is an apocalyptic number.

2484069120 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 2484069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089927920).

2484069120 is an abundant number, since it is smaller than the sum of its proper divisors (7695786720).

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

2484069120 is a wasteful number, since it uses less digits than its factorization.

2484069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2484069120 is about 49840.4365951985. The cubic root of 2484069120 is about 1354.3197922159.

The spelling of 2484069120 in words is "two billion, four hundred eighty-four million, sixty-nine thousand, one hundred twenty".