2940145745760 has 384 divisors, whose sum is σ = 10557250421760. Its totient is φ = 763974955008.

The previous prime is 2940145745753. The next prime is 2940145745881. The reversal of 2940145745760 is 675475410492.

2940145745760 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 1 + 4 + 574 + 5 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2940145745697 and 2940145745706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26118717 + ... + 26231043.

It is an arithmetic number, because the mean of its divisors is an integer number (27492839640).

Almost surely, 2^{2940145745760} is an apocalyptic number.

2940145745760 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 2940145745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278625210880).

2940145745760 is an abundant number, since it is smaller than the sum of its proper divisors (7617104676000).

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

2940145745760 is a wasteful number, since it uses less digits than its factorization.

2940145745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112507 (or 112493 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2940145745760 in words is "two trillion, nine hundred forty billion, one hundred forty-five million, seven hundred forty-five thousand, seven hundred sixty".