2956780385280 has 704 divisors, whose sum is σ = 10993667328000. Its totient is φ = 752641376256.

The previous prime is 2956780385267. The next prime is 2956780385281. The reversal of 2956780385280 is 825830876592.

2956780385280 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 78 + 0 + 38 + 528 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956780385281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356793297 + ... + 356801583.

Almost surely, 2^{2956780385280} is an apocalyptic number.

2956780385280 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 2956780385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496833664000).

2956780385280 is an abundant number, since it is smaller than the sum of its proper divisors (8036886942720).

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

2956780385280 is a wasteful number, since it uses less digits than its factorization.

2956780385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2956780385280 in words is "two trillion, nine hundred fifty-six billion, seven hundred eighty million, three hundred eighty-five thousand, two hundred eighty".