2481963120 has 960 divisors, whose sum is σ = 11283277824. Its totient is φ = 492687360.

The previous prime is 2481963067. The next prime is 2481963131. The reversal of 2481963120 is 213691842.

2481963120 is a `hidden beast` number, since 2 + 4 + 8 + 19 + 631 + 2 + 0 = 666.

2481963120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 40687890 + ... + 40687950.

Almost surely, 2^2481963120 is an apocalyptic number.

2481963120 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 2481963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641638912).

2481963120 is an abundant number, since it is smaller than the sum of its proper divisors (8801314704).

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

2481963120 is a wasteful number, since it uses less digits than its factorization.

2481963120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2481963120 is about 49819.3046920569. The cubic root of 2481963120 is about 1353.9369521046.

The spelling of 2481963120 in words is "two billion, four hundred eighty-one million, nine hundred sixty-three thousand, one hundred twenty".