2481275520 has 192 divisors, whose sum is σ = 8658435240. Its totient is φ = 654704640.

The previous prime is 2481275519. The next prime is 2481275539. The reversal of 2481275520 is 255721842.

It is a happy number.

2481275520 is a `hidden beast` number, since 2 + 4 + 8 + 127 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1810672704 + 670602816 = 42552^2 + 25896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 556500 + ... + 560940.

Almost surely, 2^2481275520 is an apocalyptic number.

2481275520 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 2481275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329217620).

2481275520 is an abundant number, since it is smaller than the sum of its proper divisors (6177159720).

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

2481275520 is a wasteful number, since it uses less digits than its factorization.

2481275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2481275520 is about 49812.4032746865. The cubic root of 2481275520 is about 1353.8119095492.

The spelling of 2481275520 in words is "two billion, four hundred eighty-one million, two hundred seventy-five thousand, five hundred twenty".