2736241485120 has 672 divisors, whose sum is σ = 11118973057920. Its totient is φ = 608868679680.

The previous prime is 2736241485113. The next prime is 2736241485161. The reversal of 2736241485120 is 215841426372.

2736241485120 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 2 + 41 + 485 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73700802 + ... + 73737918.

It is an arithmetic number, because the mean of its divisors is an integer number (16546090860).

Almost surely, 2^{2736241485120} is an apocalyptic number.

2736241485120 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 2736241485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559486528960).

2736241485120 is an abundant number, since it is smaller than the sum of its proper divisors (8382731572800).

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

2736241485120 is a wasteful number, since it uses less digits than its factorization.

2736241485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37343 (or 37330 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2736241485120 in words is "two trillion, seven hundred thirty-six billion, two hundred forty-one million, four hundred eighty-five thousand, one hundred twenty".