2975378560 has 256 divisors, whose sum is σ = 8944992000. Its totient is φ = 919388160.

The previous prime is 2975378533. The next prime is 2975378563. The reversal of 2975378560 is 658735792.

It is a junction number, because it is equal to n+sod(n) for n = 2975378498 and 2975378507.

It is not an unprimeable number, because it can be changed into a prime (2975378563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8525266 + ... + 8525614.

It is an arithmetic number, because the mean of its divisors is an integer number (34941375).

Almost surely, 2^2975378560 is an apocalyptic number.

2975378560 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 2975378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472496000).

2975378560 is an abundant number, since it is smaller than the sum of its proper divisors (5969613440).

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

2975378560 is a wasteful number, since it uses less digits than its factorization.

2975378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The square root of 2975378560 is about 54547.0307166210. The cubic root of 2975378560 is about 1438.2931422394.

The spelling of 2975378560 in words is "two billion, nine hundred seventy-five million, three hundred seventy-eight thousand, five hundred sixty".