2730253460000 has 240 divisors, whose sum is σ = 7415786413728. Its totient is φ = 980851200000.

The previous prime is 2730253459991. The next prime is 2730253460009. The reversal of 2730253460000 is 643520372.

2730253460000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2730253459991) and next prime (2730253460009).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2730253460009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18185240 + ... + 18334760.

Almost surely, 2^{2730253460000} is an apocalyptic number.

2730253460000 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 2730253460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707893206864).

2730253460000 is an abundant number, since it is smaller than the sum of its proper divisors (4685532953728).

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

2730253460000 is a wasteful number, since it uses less digits than its factorization.

2730253460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149645 (or 149622 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

Adding to 2730253460000 its reverse (643520372), we get a palindrome (2730896980372).

The spelling of 2730253460000 in words is "two trillion, seven hundred thirty billion, two hundred fifty-three million, four hundred sixty thousand".