2957703820416 has 192 divisors, whose sum is σ = 8600046474240. Its totient is φ = 975612211200.

The previous prime is 2957703820391. The next prime is 2957703820457. The reversal of 2957703820416 is 6140283077592.

It is a happy number.

2957703820416 is a `hidden beast` number, since 2 + 9 + 577 + 0 + 3 + 8 + 20 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175721121 + ... + 175737951.

It is an arithmetic number, because the mean of its divisors is an integer number (44791908720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2957703820416 = 5915407640832, but 3⋅2957703820416 = 8873111461248 is not.

Almost surely, 2^{2957703820416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957703820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300023237120).

2957703820416 is an abundant number, since it is smaller than the sum of its proper divisors (5642342653824).

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

2957703820416 is a wasteful number, since it uses less digits than its factorization.

2957703820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435 (or 18420 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2957703820416 in words is "two trillion, nine hundred fifty-seven billion, seven hundred three million, eight hundred twenty thousand, four hundred sixteen".