2740252032000 has 1760 divisors, whose sum is σ = 12363298586496. Its totient is φ = 589234176000.

The previous prime is 2740252031941. The next prime is 2740252032013. The reversal of 2740252032000 is 2302520472.

2740252032000 is a `hidden beast` number, since 2 + 7 + 402 + 52 + 0 + 3 + 200 + 0 = 666.

2740252032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1233790890 + ... + 1233793110.

Almost surely, 2^{2740252032000} is an apocalyptic number.

2740252032000 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 2740252032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181649293248).

2740252032000 is an abundant number, since it is smaller than the sum of its proper divisors (9623046554496).

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

2740252032000 is a wasteful number, since it uses less digits than its factorization.

2740252032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 2740252032000 its reverse (2302520472), we get a palindrome (2742554552472).

The spelling of 2740252032000 in words is "two trillion, seven hundred forty billion, two hundred fifty-two million, thirty-two thousand".