2700146327040 has 480 divisors, whose sum is σ = 9726282165600. Its totient is φ = 717918142464.

The previous prime is 2700146327033. The next prime is 2700146327057. The reversal of 2700146327040 is 407236410072.

2700146327040 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 14 + 632 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2700146326986 and 2700146327004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217099702 + ... + 217112138.

It is an arithmetic number, because the mean of its divisors is an integer number (20263087845).

Almost surely, 2^{2700146327040} is an apocalyptic number.

2700146327040 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 2700146327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863141082800).

2700146327040 is an abundant number, since it is smaller than the sum of its proper divisors (7026135838560).

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

2700146327040 is an equidigital number, since it uses as much as digits as its factorization.

2700146327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 2700146327040 in words is "two trillion, seven hundred billion, one hundred forty-six million, three hundred twenty-seven thousand, forty".