2481135720 has 256 divisors, whose sum is σ = 9053130240. Its totient is φ = 531038208.

The previous prime is 2481135697. The next prime is 2481135731. The reversal of 2481135720 is 275311842.

It is a Cunningham number, because it is equal to 49811²-1.

It is a super-2 number, since 2×2481135720² = 12312068922119836800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4183744 + ... + 4184336.

It is an arithmetic number, because the mean of its divisors is an integer number (35363790).

Almost surely, 2^2481135720 is an apocalyptic number.

2481135720 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 2481135720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526565120).

2481135720 is an abundant number, since it is smaller than the sum of its proper divisors (6571994520).

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

2481135720 is a wasteful number, since it uses less digits than its factorization.

2481135720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2481135720 is about 49810.9999899621. Note that the first 4 decimals coincide. The cubic root of 2481135720 is about 1353.7864835861.

The spelling of 2481135720 in words is "two billion, four hundred eighty-one million, one hundred thirty-five thousand, seven hundred twenty".