2740825866240 has 2880 divisors, whose sum is σ = 13124834956800. Its totient is φ = 539547402240.

The previous prime is 2740825866089. The next prime is 2740825866257. The reversal of 2740825866240 is 426685280472.

2740825866240 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 8 + 2 + 5 + 8 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 191 ways as a sum of consecutive naturals, for example, 144253992951 + ... + 144253992969.

It is an arithmetic number, because the mean of its divisors is an integer number (4557234360).

Almost surely, 2^{2740825866240} is an apocalyptic number.

2740825866240 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 2740825866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562417478400).

2740825866240 is an abundant number, since it is smaller than the sum of its proper divisors (10384009090560).

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

2740825866240 is an equidigital number, since it uses as much as digits as its factorization.

2740825866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2740825866240 in words is "two trillion, seven hundred forty billion, eight hundred twenty-five million, eight hundred sixty-six thousand, two hundred forty".