2724760321920 has 1792 divisors, whose sum is σ = 12440232201600. Its totient is φ = 554819715072.

The previous prime is 2724760321903. The next prime is 2724760321951. The reversal of 2724760321920 is 291230674272.

2724760321920 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 7 + 603 + 2 + 19 + 20 = 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 (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1231250734 + ... + 1231252946.

Almost surely, 2^{2724760321920} is an apocalyptic number.

2724760321920 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 2724760321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220116100800).

2724760321920 is an abundant number, since it is smaller than the sum of its proper divisors (9715471879680).

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

2724760321920 is a wasteful number, since it uses less digits than its factorization.

2724760321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2724760321920 in words is "two trillion, seven hundred twenty-four billion, seven hundred sixty million, three hundred twenty-one thousand, nine hundred twenty".