2481477120 has 240 divisors, whose sum is σ = 8914585680. Its totient is φ = 661561344.

The previous prime is 2481477109. The next prime is 2481477149. The reversal of 2481477120 is 217741842.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 620086 + ... + 624074.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^2481477120 is an apocalyptic number.

2481477120 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 2481477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457292840).

2481477120 is an abundant number, since it is smaller than the sum of its proper divisors (6433108560).

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

2481477120 is an frugal number, since it uses more digits than its factorization.

2481477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2481477120 is about 49814.4268259708. The cubic root of 2481477120 is about 1353.8485736342.

The spelling of 2481477120 in words is "two billion, four hundred eighty-one million, four hundred seventy-seven thousand, one hundred twenty".