2940497736960 has 576 divisors, whose sum is σ = 10824331198464. Its totient is φ = 666405273600.

The previous prime is 2940497736907. The next prime is 2940497736973. The reversal of 2940497736960 is 696377940492.

It is a junction number, because it is equal to n+sod(n) for n = 2940497736891 and 2940497736900.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2967202065 + ... + 2967203055.

It is an arithmetic number, because the mean of its divisors is an integer number (18792241664).

Almost surely, 2^{2940497736960} is an apocalyptic number.

2940497736960 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 2940497736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412165599232).

2940497736960 is an abundant number, since it is smaller than the sum of its proper divisors (7883833461504).

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

2940497736960 is a wasteful number, since it uses less digits than its factorization.

2940497736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 66.

The spelling of 2940497736960 in words is "two trillion, nine hundred forty billion, four hundred ninety-seven million, seven hundred thirty-six thousand, nine hundred sixty".