2940084725760 has 2304 divisors, whose sum is σ = 13208360256000. Its totient is φ = 607282790400.

The previous prime is 2940084725731. The next prime is 2940084725771. The reversal of 2940084725760 is 675274800492.

2940084725760 is a `hidden beast` number, since 29 + 4 + 0 + 0 + 8 + 47 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 2940084725697 and 2940084725706.

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, 29109749710 + ... + 29109749810.

It is an arithmetic number, because the mean of its divisors is an integer number (5732795250).

Almost surely, 2^{2940084725760} is an apocalyptic number.

2940084725760 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 2940084725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604180128000).

2940084725760 is an abundant number, since it is smaller than the sum of its proper divisors (10268275530240).

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

2940084725760 is a wasteful number, since it uses less digits than its factorization.

2940084725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2940084725760 in words is "two trillion, nine hundred forty billion, eighty-four million, seven hundred twenty-five thousand, seven hundred sixty".