2700006157200 has 960 divisors, whose sum is σ = 10222702848000. Its totient is φ = 601819545600.

The previous prime is 2700006157193. The next prime is 2700006157201. The reversal of 2700006157200 is 27516000072.

It is a super-2 number, since 2×2700006157200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2700006157201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4507522501 + ... + 4507523099.

It is an arithmetic number, because the mean of its divisors is an integer number (10648648800).

Almost surely, 2^{2700006157200} is an apocalyptic number.

2700006157200 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 2700006157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111351424000).

2700006157200 is an abundant number, since it is smaller than the sum of its proper divisors (7522696690800).

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

2700006157200 is a wasteful number, since it uses less digits than its factorization.

2700006157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 2700006157200 in words is "two trillion, seven hundred billion, six million, one hundred fifty-seven thousand, two hundred".