2730492737280 has 4320 divisors, whose sum is σ = 13641837834240. Its totient is φ = 508015411200.

The previous prime is 2730492737261. The next prime is 2730492737299. The reversal of 2730492737280 is 827372940372.

It is a happy number.

2730492737280 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 492 + 7 + 3 + 72 + 80 = 666.

2730492737280 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 (2730492737261) and next prime (2730492737299).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 46279537891 + ... + 46279537949.

It is an arithmetic number, because the mean of its divisors is an integer number (3157832832).

Almost surely, 2^{2730492737280} is an apocalyptic number.

2730492737280 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 2730492737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820918917120).

2730492737280 is an abundant number, since it is smaller than the sum of its proper divisors (10911345096960).

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

2730492737280 is a wasteful number, since it uses less digits than its factorization.

2730492737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 2730492737280 in words is "two trillion, seven hundred thirty billion, four hundred ninety-two million, seven hundred thirty-seven thousand, two hundred eighty".