2721254674320 has 2400 divisors, whose sum is σ = 12413805465600. Its totient is φ = 546918801408.

The previous prime is 2721254674309. The next prime is 2721254674321. The reversal of 2721254674320 is 234764521272.

2721254674320 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 2 + 546 + 74 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2721254674321) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15202539991 + ... + 15202540169.

It is an arithmetic number, because the mean of its divisors is an integer number (5172418944).

Almost surely, 2^{2721254674320} is an apocalyptic number.

2721254674320 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 2721254674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206902732800).

2721254674320 is an abundant number, since it is smaller than the sum of its proper divisors (9692550791280).

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

2721254674320 is a wasteful number, since it uses less digits than its factorization.

2721254674320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2721254674320 in words is "two trillion, seven hundred twenty-one billion, two hundred fifty-four million, six hundred seventy-four thousand, three hundred twenty".