2700580072320 has 1536 divisors, whose sum is σ = 11046619584000. Its totient is φ = 624978395136.

The previous prime is 2700580072297. The next prime is 2700580072357. The reversal of 2700580072320 is 232700850072.

It is a happy number.

2700580072320 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 580 + 0 + 72 + 3 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 8796677607 + ... + 8796677913.

It is an arithmetic number, because the mean of its divisors is an integer number (7191809625).

Almost surely, 2^{2700580072320} is an apocalyptic number.

2700580072320 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 2700580072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523309792000).

2700580072320 is an abundant number, since it is smaller than the sum of its proper divisors (8346039511680).

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

2700580072320 is a wasteful number, since it uses less digits than its factorization.

2700580072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2700580072320 in words is "two trillion, seven hundred billion, five hundred eighty million, seventy-two thousand, three hundred twenty".