2945779983360 has 132 divisors (see below), whose sum is σ = 10207051088988. Its totient is φ = 785541316608.

The previous prime is 2945779983353. The next prime is 2945779983427. The reversal of 2945779983360 is 633899775492.

2945779983360 is a `hidden beast` number, since 2 + 9 + 457 + 7 + 99 + 83 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2237920257024 + 707859726336 = 1495968^2 + 841344^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31917679 + ... + 32009838.

Almost surely, 2^{2945779983360} is an apocalyptic number.

2945779983360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2945779983360 is an abundant number, since it is smaller than the sum of its proper divisors (7261271105628).

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

2945779983360 is a wasteful number, since it uses less digits than its factorization.

2945779983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63927548 (or 63927527 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 2945779983360 in words is "two trillion, nine hundred forty-five billion, seven hundred seventy-nine million, nine hundred eighty-three thousand, three hundred sixty".