2760760225440 has 1536 divisors, whose sum is σ = 12844210176000. Its totient is φ = 538145980416.

The previous prime is 2760760225367. The next prime is 2760760225469. The reversal of 2760760225440 is 445220670672.

It is a happy number.

2760760225440 is a `hidden beast` number, since 27 + 6 + 0 + 7 + 60 + 22 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224646816 + ... + 224659104.

It is an arithmetic number, because the mean of its divisors is an integer number (8362116000).

Almost surely, 2^{2760760225440} is an apocalyptic number.

2760760225440 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 2760760225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422105088000).

2760760225440 is an abundant number, since it is smaller than the sum of its proper divisors (10083449950560).

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

2760760225440 is a wasteful number, since it uses less digits than its factorization.

2760760225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 2760760225440 in words is "two trillion, seven hundred sixty billion, seven hundred sixty million, two hundred twenty-five thousand, four hundred forty".